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Finding the Fourth Proportional to 1,562.84, 2,342.88 and 588.96

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Solution

The fourth proportional to 1,562.84, 2,342.88 and 588.96 is: 882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.84 : 2,342.88 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,562.84/2,342.88 = 588.96/x
  3. Step 3: Cross multiply
    1,562.84x = 2,342.88 × 588.96
  4. Step 4: Simplify right side
    1,562.84x = 1,379,862.60
  5. Step 5: Solve for x
    x = 1,379,862.60/1,562.84
  6. Step 6: Final answer
    x = 882.92

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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.