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Finding the Fourth Proportional to 1,032.67, 1,425.09 and 560.56

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Solution

The fourth proportional to 1,032.67, 1,425.09 and 560.56 is: 773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.67 : 1,425.09 = 560.56 : x
  2. Step 2: Convert to fraction form
    1,032.67/1,425.09 = 560.56/x
  3. Step 3: Cross multiply
    1,032.67x = 1,425.09 × 560.56
  4. Step 4: Simplify right side
    1,032.67x = 798,848.45
  5. Step 5: Solve for x
    x = 798,848.45/1,032.67
  6. Step 6: Final answer
    x = 773.58

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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.