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Finding the Fourth Proportional to 837.16, 1,254.24 and 714.17

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Solution

The fourth proportional to 837.16, 1,254.24 and 714.17 is: 1,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.16 : 1,254.24 = 714.17 : x
  2. Step 2: Convert to fraction form
    837.16/1,254.24 = 714.17/x
  3. Step 3: Cross multiply
    837.16x = 1,254.24 × 714.17
  4. Step 4: Simplify right side
    837.16x = 895,743.72
  5. Step 5: Solve for x
    x = 895,743.72/837.16
  6. Step 6: Final answer
    x = 1,069.98

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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.