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Finding the Fourth Proportional to 1,182, 1,773.02 and 532.29

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Solution

The fourth proportional to 1,182, 1,773.02 and 532.29 is: 798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182 : 1,773.02 = 532.29 : x
  2. Step 2: Convert to fraction form
    1,182/1,773.02 = 532.29/x
  3. Step 3: Cross multiply
    1,182x = 1,773.02 × 532.29
  4. Step 4: Simplify right side
    1,182x = 943,760.82
  5. Step 5: Solve for x
    x = 943,760.82/1,182
  6. Step 6: Final answer
    x = 798.44

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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.