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Finding the Fourth Proportional to 1,582.71, 2,373.04 and 658.90

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Solution

The fourth proportional to 1,582.71, 2,373.04 and 658.90 is: 987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.71 : 2,373.04 = 658.90 : x
  2. Step 2: Convert to fraction form
    1,582.71/2,373.04 = 658.90/x
  3. Step 3: Cross multiply
    1,582.71x = 2,373.04 × 658.90
  4. Step 4: Simplify right side
    1,582.71x = 1,563,596.06
  5. Step 5: Solve for x
    x = 1,563,596.06/1,582.71
  6. Step 6: Final answer
    x = 987.92

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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.