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Finding the Fourth Proportional to 764.24, 1,145.85 and 456.13

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Solution

The fourth proportional to 764.24, 1,145.85 and 456.13 is: 683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,145.85 = 456.13 : x
  2. Step 2: Convert to fraction form
    764.24/1,145.85 = 456.13/x
  3. Step 3: Cross multiply
    764.24x = 1,145.85 × 456.13
  4. Step 4: Simplify right side
    764.24x = 522,656.28
  5. Step 5: Solve for x
    x = 522,656.28/764.24
  6. Step 6: Final answer
    x = 683.89

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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.