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Finding the Fourth Proportional to 773.48, 1,159.20 and 407.48

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Solution

The fourth proportional to 773.48, 1,159.20 and 407.48 is: 610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.48 : 1,159.20 = 407.48 : x
  2. Step 2: Convert to fraction form
    773.48/1,159.20 = 407.48/x
  3. Step 3: Cross multiply
    773.48x = 1,159.20 × 407.48
  4. Step 4: Simplify right side
    773.48x = 472,350.82
  5. Step 5: Solve for x
    x = 472,350.82/773.48
  6. Step 6: Final answer
    x = 610.68

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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.