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Finding the Fourth Proportional to 918.39, 1,376.71 and 588.32

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Solution

The fourth proportional to 918.39, 1,376.71 and 588.32 is: 881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.39 : 1,376.71 = 588.32 : x
  2. Step 2: Convert to fraction form
    918.39/1,376.71 = 588.32/x
  3. Step 3: Cross multiply
    918.39x = 1,376.71 × 588.32
  4. Step 4: Simplify right side
    918.39x = 809,937.67
  5. Step 5: Solve for x
    x = 809,937.67/918.39
  6. Step 6: Final answer
    x = 881.91

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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.