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Finding the Fourth Proportional to 591.03, 886.95 and 565.92

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Solution

The fourth proportional to 591.03, 886.95 and 565.92 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.03 : 886.95 = 565.92 : x
  2. Step 2: Convert to fraction form
    591.03/886.95 = 565.92/x
  3. Step 3: Cross multiply
    591.03x = 886.95 × 565.92
  4. Step 4: Simplify right side
    591.03x = 501,942.74
  5. Step 5: Solve for x
    x = 501,942.74/591.03
  6. Step 6: Final answer
    x = 849.27

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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.