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Finding the Fourth Proportional to 654.54, 902.16 and 560.58

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Solution

The fourth proportional to 654.54, 902.16 and 560.58 is: 772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 902.16 = 560.58 : x
  2. Step 2: Convert to fraction form
    654.54/902.16 = 560.58/x
  3. Step 3: Cross multiply
    654.54x = 902.16 × 560.58
  4. Step 4: Simplify right side
    654.54x = 505,732.85
  5. Step 5: Solve for x
    x = 505,732.85/654.54
  6. Step 6: Final answer
    x = 772.65

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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.