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Finding the Fourth Proportional to 1,543.59, 2,314.31 and 569.57

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Solution

The fourth proportional to 1,543.59, 2,314.31 and 569.57 is: 853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.59 : 2,314.31 = 569.57 : x
  2. Step 2: Convert to fraction form
    1,543.59/2,314.31 = 569.57/x
  3. Step 3: Cross multiply
    1,543.59x = 2,314.31 × 569.57
  4. Step 4: Simplify right side
    1,543.59x = 1,318,147.13
  5. Step 5: Solve for x
    x = 1,318,147.13/1,543.59
  6. Step 6: Final answer
    x = 853.95

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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.