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Finding the Fourth Proportional to 1,061.89, 1,590.71 and 507.14

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Solution

The fourth proportional to 1,061.89, 1,590.71 and 507.14 is: 759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.89 : 1,590.71 = 507.14 : x
  2. Step 2: Convert to fraction form
    1,061.89/1,590.71 = 507.14/x
  3. Step 3: Cross multiply
    1,061.89x = 1,590.71 × 507.14
  4. Step 4: Simplify right side
    1,061.89x = 806,702.18
  5. Step 5: Solve for x
    x = 806,702.18/1,061.89
  6. Step 6: Final answer
    x = 759.69

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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.