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Finding the Fourth Proportional to 773.98, 1,159.42 and 465.66

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Solution

The fourth proportional to 773.98, 1,159.42 and 465.66 is: 697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.98 : 1,159.42 = 465.66 : x
  2. Step 2: Convert to fraction form
    773.98/1,159.42 = 465.66/x
  3. Step 3: Cross multiply
    773.98x = 1,159.42 × 465.66
  4. Step 4: Simplify right side
    773.98x = 539,893.19
  5. Step 5: Solve for x
    x = 539,893.19/773.98
  6. Step 6: Final answer
    x = 697.56

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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.