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Finding the Fourth Proportional to 1,583, 2,374.53 and 658.29

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Solution

The fourth proportional to 1,583, 2,374.53 and 658.29 is: 987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583 : 2,374.53 = 658.29 : x
  2. Step 2: Convert to fraction form
    1,583/2,374.53 = 658.29/x
  3. Step 3: Cross multiply
    1,583x = 2,374.53 × 658.29
  4. Step 4: Simplify right side
    1,583x = 1,563,129.35
  5. Step 5: Solve for x
    x = 1,563,129.35/1,583
  6. Step 6: Final answer
    x = 987.45

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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.