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Finding the Fourth Proportional to 1,582.43, 2,373.84 and 658.61

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Solution

The fourth proportional to 1,582.43, 2,373.84 and 658.61 is: 987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.43 : 2,373.84 = 658.61 : x
  2. Step 2: Convert to fraction form
    1,582.43/2,373.84 = 658.61/x
  3. Step 3: Cross multiply
    1,582.43x = 2,373.84 × 658.61
  4. Step 4: Simplify right side
    1,582.43x = 1,563,431.47
  5. Step 5: Solve for x
    x = 1,563,431.47/1,582.43
  6. Step 6: Final answer
    x = 987.99

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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.