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Finding the Fourth Proportional to 1,182.51, 1,773.14 and 532.71

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Solution

The fourth proportional to 1,182.51, 1,773.14 and 532.71 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.51 : 1,773.14 = 532.71 : x
  2. Step 2: Convert to fraction form
    1,182.51/1,773.14 = 532.71/x
  3. Step 3: Cross multiply
    1,182.51x = 1,773.14 × 532.71
  4. Step 4: Simplify right side
    1,182.51x = 944,566.75
  5. Step 5: Solve for x
    x = 944,566.75/1,182.51
  6. Step 6: Final answer
    x = 798.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.