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Finding the Fourth Proportional to 1,565.84, 2,348.64 and 742.88

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Solution

The fourth proportional to 1,565.84, 2,348.64 and 742.88 is: 1,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.84 : 2,348.64 = 742.88 : x
  2. Step 2: Convert to fraction form
    1,565.84/2,348.64 = 742.88/x
  3. Step 3: Cross multiply
    1,565.84x = 2,348.64 × 742.88
  4. Step 4: Simplify right side
    1,565.84x = 1,744,757.68
  5. Step 5: Solve for x
    x = 1,744,757.68/1,565.84
  6. Step 6: Final answer
    x = 1,114.26

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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.