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Finding the Fourth Proportional to 1,178.31, 1,766.95 and 592.95

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Solution

The fourth proportional to 1,178.31, 1,766.95 and 592.95 is: 889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.31 : 1,766.95 = 592.95 : x
  2. Step 2: Convert to fraction form
    1,178.31/1,766.95 = 592.95/x
  3. Step 3: Cross multiply
    1,178.31x = 1,766.95 × 592.95
  4. Step 4: Simplify right side
    1,178.31x = 1,047,704.17
  5. Step 5: Solve for x
    x = 1,047,704.17/1,178.31
  6. Step 6: Final answer
    x = 889.16

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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.