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Finding the Fourth Proportional to 1,286.47, 1,927.12 and 592.18

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Solution

The fourth proportional to 1,286.47, 1,927.12 and 592.18 is: 887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.47 : 1,927.12 = 592.18 : x
  2. Step 2: Convert to fraction form
    1,286.47/1,927.12 = 592.18/x
  3. Step 3: Cross multiply
    1,286.47x = 1,927.12 × 592.18
  4. Step 4: Simplify right side
    1,286.47x = 1,141,192.29
  5. Step 5: Solve for x
    x = 1,141,192.29/1,286.47
  6. Step 6: Final answer
    x = 887.07

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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.