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Finding the Fourth Proportional to 781.84, 1,169.64 and 607.17

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Solution

The fourth proportional to 781.84, 1,169.64 and 607.17 is: 908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,169.64 = 607.17 : x
  2. Step 2: Convert to fraction form
    781.84/1,169.64 = 607.17/x
  3. Step 3: Cross multiply
    781.84x = 1,169.64 × 607.17
  4. Step 4: Simplify right side
    781.84x = 710,170.32
  5. Step 5: Solve for x
    x = 710,170.32/781.84
  6. Step 6: Final answer
    x = 908.33

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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.