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Finding the Fourth Proportional to 1,066.42, 1,472.04 and 646.60

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Solution

The fourth proportional to 1,066.42, 1,472.04 and 646.60 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.42 : 1,472.04 = 646.60 : x
  2. Step 2: Convert to fraction form
    1,066.42/1,472.04 = 646.60/x
  3. Step 3: Cross multiply
    1,066.42x = 1,472.04 × 646.60
  4. Step 4: Simplify right side
    1,066.42x = 951,821.06
  5. Step 5: Solve for x
    x = 951,821.06/1,066.42
  6. Step 6: Final answer
    x = 892.54

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