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Finding the Fourth Proportional to 1,542.78, 2,315.08 and 569.57

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Solution

The fourth proportional to 1,542.78, 2,315.08 and 569.57 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.78 : 2,315.08 = 569.57 : x
  2. Step 2: Convert to fraction form
    1,542.78/2,315.08 = 569.57/x
  3. Step 3: Cross multiply
    1,542.78x = 2,315.08 × 569.57
  4. Step 4: Simplify right side
    1,542.78x = 1,318,588.54
  5. Step 5: Solve for x
    x = 1,318,588.54/1,542.78
  6. Step 6: Final answer
    x = 854.68

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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.