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Finding the Fourth Proportional to 1,257.52, 1,735.02 and 753.31

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Solution

The fourth proportional to 1,257.52, 1,735.02 and 753.31 is: 1,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.52 : 1,735.02 = 753.31 : x
  2. Step 2: Convert to fraction form
    1,257.52/1,735.02 = 753.31/x
  3. Step 3: Cross multiply
    1,257.52x = 1,735.02 × 753.31
  4. Step 4: Simplify right side
    1,257.52x = 1,307,007.92
  5. Step 5: Solve for x
    x = 1,307,007.92/1,257.52
  6. Step 6: Final answer
    x = 1,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.