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Finding the Fourth Proportional to 1,461.66, 2,192.49 and 435.66

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Solution

The fourth proportional to 1,461.66, 2,192.49 and 435.66 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.66 : 2,192.49 = 435.66 : x
  2. Step 2: Convert to fraction form
    1,461.66/2,192.49 = 435.66/x
  3. Step 3: Cross multiply
    1,461.66x = 2,192.49 × 435.66
  4. Step 4: Simplify right side
    1,461.66x = 955,180.19
  5. Step 5: Solve for x
    x = 955,180.19/1,461.66
  6. Step 6: Final answer
    x = 653.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.