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Finding the Fourth Proportional to 1,066.26, 1,471.45 and 646.52

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Solution

The fourth proportional to 1,066.26, 1,471.45 and 646.52 is: 892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.26 : 1,471.45 = 646.52 : x
  2. Step 2: Convert to fraction form
    1,066.26/1,471.45 = 646.52/x
  3. Step 3: Cross multiply
    1,066.26x = 1,471.45 × 646.52
  4. Step 4: Simplify right side
    1,066.26x = 951,321.85
  5. Step 5: Solve for x
    x = 951,321.85/1,066.26
  6. Step 6: Final answer
    x = 892.20

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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.