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Finding the Fourth Proportional to 1,082.32, 1,622.96 and 497.14

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Solution

The fourth proportional to 1,082.32, 1,622.96 and 497.14 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.32 : 1,622.96 = 497.14 : x
  2. Step 2: Convert to fraction form
    1,082.32/1,622.96 = 497.14/x
  3. Step 3: Cross multiply
    1,082.32x = 1,622.96 × 497.14
  4. Step 4: Simplify right side
    1,082.32x = 806,838.33
  5. Step 5: Solve for x
    x = 806,838.33/1,082.32
  6. Step 6: Final answer
    x = 745.47

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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.