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Finding the Fourth Proportional to 1,542.57, 2,314.77 and 568.74

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Solution

The fourth proportional to 1,542.57, 2,314.77 and 568.74 is: 853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.57 : 2,314.77 = 568.74 : x
  2. Step 2: Convert to fraction form
    1,542.57/2,314.77 = 568.74/x
  3. Step 3: Cross multiply
    1,542.57x = 2,314.77 × 568.74
  4. Step 4: Simplify right side
    1,542.57x = 1,316,502.29
  5. Step 5: Solve for x
    x = 1,316,502.29/1,542.57
  6. Step 6: Final answer
    x = 853.45

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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.