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Finding the Fourth Proportional to 829.92, 1,145.28 and 456.90

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Solution

The fourth proportional to 829.92, 1,145.28 and 456.90 is: 630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,145.28 = 456.90 : x
  2. Step 2: Convert to fraction form
    829.92/1,145.28 = 456.90/x
  3. Step 3: Cross multiply
    829.92x = 1,145.28 × 456.90
  4. Step 4: Simplify right side
    829.92x = 523,278.43
  5. Step 5: Solve for x
    x = 523,278.43/829.92
  6. Step 6: Final answer
    x = 630.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.