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Finding the Fourth Proportional to 763.38, 1,145.68 and 398.28

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Solution

The fourth proportional to 763.38, 1,145.68 and 398.28 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.38 : 1,145.68 = 398.28 : x
  2. Step 2: Convert to fraction form
    763.38/1,145.68 = 398.28/x
  3. Step 3: Cross multiply
    763.38x = 1,145.68 × 398.28
  4. Step 4: Simplify right side
    763.38x = 456,301.43
  5. Step 5: Solve for x
    x = 456,301.43/763.38
  6. Step 6: Final answer
    x = 597.74

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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.