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Finding the Fourth Proportional to 1,582.70, 2,374.73 and 658.93

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Solution

The fourth proportional to 1,582.70, 2,374.73 and 658.93 is: 988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.70 : 2,374.73 = 658.93 : x
  2. Step 2: Convert to fraction form
    1,582.70/2,374.73 = 658.93/x
  3. Step 3: Cross multiply
    1,582.70x = 2,374.73 × 658.93
  4. Step 4: Simplify right side
    1,582.70x = 1,564,780.84
  5. Step 5: Solve for x
    x = 1,564,780.84/1,582.70
  6. Step 6: Final answer
    x = 988.68

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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.