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Finding the Fourth Proportional to 655.04, 902.32 and 560.20

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Solution

The fourth proportional to 655.04, 902.32 and 560.20 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.04 : 902.32 = 560.20 : x
  2. Step 2: Convert to fraction form
    655.04/902.32 = 560.20/x
  3. Step 3: Cross multiply
    655.04x = 902.32 × 560.20
  4. Step 4: Simplify right side
    655.04x = 505,479.66
  5. Step 5: Solve for x
    x = 505,479.66/655.04
  6. Step 6: Final answer
    x = 771.68

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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.