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Finding the Fourth Proportional to 615.62, 921.57 and 565.82

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Solution

The fourth proportional to 615.62, 921.57 and 565.82 is: 847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.62 : 921.57 = 565.82 : x
  2. Step 2: Convert to fraction form
    615.62/921.57 = 565.82/x
  3. Step 3: Cross multiply
    615.62x = 921.57 × 565.82
  4. Step 4: Simplify right side
    615.62x = 521,442.74
  5. Step 5: Solve for x
    x = 521,442.74/615.62
  6. Step 6: Final answer
    x = 847.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.