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Finding the Fourth Proportional to 781.88, 1,166.70 and 777.32

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Solution

The fourth proportional to 781.88, 1,166.70 and 777.32 is: 1,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.88 : 1,166.70 = 777.32 : x
  2. Step 2: Convert to fraction form
    781.88/1,166.70 = 777.32/x
  3. Step 3: Cross multiply
    781.88x = 1,166.70 × 777.32
  4. Step 4: Simplify right side
    781.88x = 906,899.24
  5. Step 5: Solve for x
    x = 906,899.24/781.88
  6. Step 6: Final answer
    x = 1,159.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.