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Finding the Fourth Proportional to 1,582.61, 2,374.77 and 658.81

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Solution

The fourth proportional to 1,582.61, 2,374.77 and 658.81 is: 988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.61 : 2,374.77 = 658.81 : x
  2. Step 2: Convert to fraction form
    1,582.61/2,374.77 = 658.81/x
  3. Step 3: Cross multiply
    1,582.61x = 2,374.77 × 658.81
  4. Step 4: Simplify right side
    1,582.61x = 1,564,510.35
  5. Step 5: Solve for x
    x = 1,564,510.35/1,582.61
  6. Step 6: Final answer
    x = 988.56

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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.