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Finding the Fourth Proportional to 781.65, 1,173.29 and 584.72

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Solution

The fourth proportional to 781.65, 1,173.29 and 584.72 is: 877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,173.29 = 584.72 : x
  2. Step 2: Convert to fraction form
    781.65/1,173.29 = 584.72/x
  3. Step 3: Cross multiply
    781.65x = 1,173.29 × 584.72
  4. Step 4: Simplify right side
    781.65x = 686,041.74
  5. Step 5: Solve for x
    x = 686,041.74/781.65
  6. Step 6: Final answer
    x = 877.68

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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.