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Finding the Fourth Proportional to 773.09, 1,159.47 and 643.91

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Solution

The fourth proportional to 773.09, 1,159.47 and 643.91 is: 965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.09 : 1,159.47 = 643.91 : x
  2. Step 2: Convert to fraction form
    773.09/1,159.47 = 643.91/x
  3. Step 3: Cross multiply
    773.09x = 1,159.47 × 643.91
  4. Step 4: Simplify right side
    773.09x = 746,597.23
  5. Step 5: Solve for x
    x = 746,597.23/773.09
  6. Step 6: Final answer
    x = 965.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.