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Finding the Fourth Proportional to 1,238.13, 1,708.56 and 714.33

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Solution

The fourth proportional to 1,238.13, 1,708.56 and 714.33 is: 985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.13 : 1,708.56 = 714.33 : x
  2. Step 2: Convert to fraction form
    1,238.13/1,708.56 = 714.33/x
  3. Step 3: Cross multiply
    1,238.13x = 1,708.56 × 714.33
  4. Step 4: Simplify right side
    1,238.13x = 1,220,475.66
  5. Step 5: Solve for x
    x = 1,220,475.66/1,238.13
  6. Step 6: Final answer
    x = 985.74

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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.