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Finding the Fourth Proportional to 763.77, 1,147.82 and 455.70

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Solution

The fourth proportional to 763.77, 1,147.82 and 455.70 is: 684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.77 : 1,147.82 = 455.70 : x
  2. Step 2: Convert to fraction form
    763.77/1,147.82 = 455.70/x
  3. Step 3: Cross multiply
    763.77x = 1,147.82 × 455.70
  4. Step 4: Simplify right side
    763.77x = 523,059.30
  5. Step 5: Solve for x
    x = 523,059.30/763.77
  6. Step 6: Final answer
    x = 684.84

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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.