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Finding the Fourth Proportional to 591.30, 886.95 and 562.14

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Solution

The fourth proportional to 591.30, 886.95 and 562.14 is: 843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 886.95 = 562.14 : x
  2. Step 2: Convert to fraction form
    591.30/886.95 = 562.14/x
  3. Step 3: Cross multiply
    591.30x = 886.95 × 562.14
  4. Step 4: Simplify right side
    591.30x = 498,590.07
  5. Step 5: Solve for x
    x = 498,590.07/591.30
  6. Step 6: Final answer
    x = 843.21

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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.