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Finding the Fourth Proportional to 947.66, 1,304.57 and 781.61

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Solution

The fourth proportional to 947.66, 1,304.57 and 781.61 is: 1,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,304.57 = 781.61 : x
  2. Step 2: Convert to fraction form
    947.66/1,304.57 = 781.61/x
  3. Step 3: Cross multiply
    947.66x = 1,304.57 × 781.61
  4. Step 4: Simplify right side
    947.66x = 1,019,660.39
  5. Step 5: Solve for x
    x = 1,019,660.39/947.66
  6. Step 6: Final answer
    x = 1,075.98

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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.