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Finding the Fourth Proportional to 1,580.89, 2,371.86 and 658.24

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Solution

The fourth proportional to 1,580.89, 2,371.86 and 658.24 is: 987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.89 : 2,371.86 = 658.24 : x
  2. Step 2: Convert to fraction form
    1,580.89/2,371.86 = 658.24/x
  3. Step 3: Cross multiply
    1,580.89x = 2,371.86 × 658.24
  4. Step 4: Simplify right side
    1,580.89x = 1,561,253.13
  5. Step 5: Solve for x
    x = 1,561,253.13/1,580.89
  6. Step 6: Final answer
    x = 987.58

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Why These Related Problems?

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