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Finding the Fourth Proportional to 1,255.48, 1,732.54 and 703.48

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Solution

The fourth proportional to 1,255.48, 1,732.54 and 703.48 is: 970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.48 : 1,732.54 = 703.48 : x
  2. Step 2: Convert to fraction form
    1,255.48/1,732.54 = 703.48/x
  3. Step 3: Cross multiply
    1,255.48x = 1,732.54 × 703.48
  4. Step 4: Simplify right side
    1,255.48x = 1,218,807.24
  5. Step 5: Solve for x
    x = 1,218,807.24/1,255.48
  6. Step 6: Final answer
    x = 970.79

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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.