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Finding the Fourth Proportional to 866.38, 1,195.63 and 473.43

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Solution

The fourth proportional to 866.38, 1,195.63 and 473.43 is: 653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.38 : 1,195.63 = 473.43 : x
  2. Step 2: Convert to fraction form
    866.38/1,195.63 = 473.43/x
  3. Step 3: Cross multiply
    866.38x = 1,195.63 × 473.43
  4. Step 4: Simplify right side
    866.38x = 566,038.77
  5. Step 5: Solve for x
    x = 566,038.77/866.38
  6. Step 6: Final answer
    x = 653.34

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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.