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Finding the Fourth Proportional to 763.46, 1,146.73 and 455.91

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Solution

The fourth proportional to 763.46, 1,146.73 and 455.91 is: 684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.46 : 1,146.73 = 455.91 : x
  2. Step 2: Convert to fraction form
    763.46/1,146.73 = 455.91/x
  3. Step 3: Cross multiply
    763.46x = 1,146.73 × 455.91
  4. Step 4: Simplify right side
    763.46x = 522,805.67
  5. Step 5: Solve for x
    x = 522,805.67/763.46
  6. Step 6: Final answer
    x = 684.78

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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.