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Finding the Fourth Proportional to 1,058.70, 1,587.57 and 688.14

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Solution

The fourth proportional to 1,058.70, 1,587.57 and 688.14 is: 1,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.70 : 1,587.57 = 688.14 : x
  2. Step 2: Convert to fraction form
    1,058.70/1,587.57 = 688.14/x
  3. Step 3: Cross multiply
    1,058.70x = 1,587.57 × 688.14
  4. Step 4: Simplify right side
    1,058.70x = 1,092,470.42
  5. Step 5: Solve for x
    x = 1,092,470.42/1,058.70
  6. Step 6: Final answer
    x = 1,031.90

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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.