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Finding the Fourth Proportional to 764.78, 1,146.14 and 417.59

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Solution

The fourth proportional to 764.78, 1,146.14 and 417.59 is: 625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.78 : 1,146.14 = 417.59 : x
  2. Step 2: Convert to fraction form
    764.78/1,146.14 = 417.59/x
  3. Step 3: Cross multiply
    764.78x = 1,146.14 × 417.59
  4. Step 4: Simplify right side
    764.78x = 478,617.38
  5. Step 5: Solve for x
    x = 478,617.38/764.78
  6. Step 6: Final answer
    x = 625.83

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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.