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Finding the Fourth Proportional to 782.79, 1,177.07 and 723.75

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Solution

The fourth proportional to 782.79, 1,177.07 and 723.75 is: 1,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.79 : 1,177.07 = 723.75 : x
  2. Step 2: Convert to fraction form
    782.79/1,177.07 = 723.75/x
  3. Step 3: Cross multiply
    782.79x = 1,177.07 × 723.75
  4. Step 4: Simplify right side
    782.79x = 851,900.79
  5. Step 5: Solve for x
    x = 851,900.79/782.79
  6. Step 6: Final answer
    x = 1,088.29

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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.