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Finding the Fourth Proportional to 836.98, 1,254.56 and 714.87

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Solution

The fourth proportional to 836.98, 1,254.56 and 714.87 is: 1,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.98 : 1,254.56 = 714.87 : x
  2. Step 2: Convert to fraction form
    836.98/1,254.56 = 714.87/x
  3. Step 3: Cross multiply
    836.98x = 1,254.56 × 714.87
  4. Step 4: Simplify right side
    836.98x = 896,843.73
  5. Step 5: Solve for x
    x = 896,843.73/836.98
  6. Step 6: Final answer
    x = 1,071.53

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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.