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Finding the Fourth Proportional to 1,542.83, 2,314.51 and 502.54

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Solution

The fourth proportional to 1,542.83, 2,314.51 and 502.54 is: 753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.83 : 2,314.51 = 502.54 : x
  2. Step 2: Convert to fraction form
    1,542.83/2,314.51 = 502.54/x
  3. Step 3: Cross multiply
    1,542.83x = 2,314.51 × 502.54
  4. Step 4: Simplify right side
    1,542.83x = 1,163,126.81
  5. Step 5: Solve for x
    x = 1,163,126.81/1,542.83
  6. Step 6: Final answer
    x = 753.89

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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.