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Finding the Fourth Proportional to 866.19, 1,195.35 and 473.23

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Solution

The fourth proportional to 866.19, 1,195.35 and 473.23 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.19 : 1,195.35 = 473.23 : x
  2. Step 2: Convert to fraction form
    866.19/1,195.35 = 473.23/x
  3. Step 3: Cross multiply
    866.19x = 1,195.35 × 473.23
  4. Step 4: Simplify right side
    866.19x = 565,675.48
  5. Step 5: Solve for x
    x = 565,675.48/866.19
  6. Step 6: Final answer
    x = 653.06

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.