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Finding the Fourth Proportional to 1,182.91, 1,773.98 and 392.12

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Solution

The fourth proportional to 1,182.91, 1,773.98 and 392.12 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.91 : 1,773.98 = 392.12 : x
  2. Step 2: Convert to fraction form
    1,182.91/1,773.98 = 392.12/x
  3. Step 3: Cross multiply
    1,182.91x = 1,773.98 × 392.12
  4. Step 4: Simplify right side
    1,182.91x = 695,613.04
  5. Step 5: Solve for x
    x = 695,613.04/1,182.91
  6. Step 6: Final answer
    x = 588.05

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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.