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Finding the Fourth Proportional to 1,181.88, 1,772.16 and 532.14

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Solution

The fourth proportional to 1,181.88, 1,772.16 and 532.14 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.88 : 1,772.16 = 532.14 : x
  2. Step 2: Convert to fraction form
    1,181.88/1,772.16 = 532.14/x
  3. Step 3: Cross multiply
    1,181.88x = 1,772.16 × 532.14
  4. Step 4: Simplify right side
    1,181.88x = 943,037.22
  5. Step 5: Solve for x
    x = 943,037.22/1,181.88
  6. Step 6: Final answer
    x = 797.91

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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.