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Finding the Fourth Proportional to 780.68, 1,077.30 and 426.61

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Solution

The fourth proportional to 780.68, 1,077.30 and 426.61 is: 588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.68 : 1,077.30 = 426.61 : x
  2. Step 2: Convert to fraction form
    780.68/1,077.30 = 426.61/x
  3. Step 3: Cross multiply
    780.68x = 1,077.30 × 426.61
  4. Step 4: Simplify right side
    780.68x = 459,586.20
  5. Step 5: Solve for x
    x = 459,586.20/780.68
  6. Step 6: Final answer
    x = 588.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.