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Finding the Fourth Proportional to 1,689.44, 2,534.14 and 715.52

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Solution

The fourth proportional to 1,689.44, 2,534.14 and 715.52 is: 1,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.44 : 2,534.14 = 715.52 : x
  2. Step 2: Convert to fraction form
    1,689.44/2,534.14 = 715.52/x
  3. Step 3: Cross multiply
    1,689.44x = 2,534.14 × 715.52
  4. Step 4: Simplify right side
    1,689.44x = 1,813,227.85
  5. Step 5: Solve for x
    x = 1,813,227.85/1,689.44
  6. Step 6: Final answer
    x = 1,073.27

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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.