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Finding the Fourth Proportional to 1,082.74, 1,624.14 and 714.90

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Solution

The fourth proportional to 1,082.74, 1,624.14 and 714.90 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.74 : 1,624.14 = 714.90 : x
  2. Step 2: Convert to fraction form
    1,082.74/1,624.14 = 714.90/x
  3. Step 3: Cross multiply
    1,082.74x = 1,624.14 × 714.90
  4. Step 4: Simplify right side
    1,082.74x = 1,161,097.69
  5. Step 5: Solve for x
    x = 1,161,097.69/1,082.74
  6. Step 6: Final answer
    x = 1,072.37

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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.