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Finding the Fourth Proportional to 866.90, 1,300.04 and 433.76

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Solution

The fourth proportional to 866.90, 1,300.04 and 433.76 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.90 : 1,300.04 = 433.76 : x
  2. Step 2: Convert to fraction form
    866.90/1,300.04 = 433.76/x
  3. Step 3: Cross multiply
    866.90x = 1,300.04 × 433.76
  4. Step 4: Simplify right side
    866.90x = 563,905.35
  5. Step 5: Solve for x
    x = 563,905.35/866.90
  6. Step 6: Final answer
    x = 650.48

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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.