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Finding the Fourth Proportional to 1,116.75, 1,676.12 and 532.11

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Solution

The fourth proportional to 1,116.75, 1,676.12 and 532.11 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.75 : 1,676.12 = 532.11 : x
  2. Step 2: Convert to fraction form
    1,116.75/1,676.12 = 532.11/x
  3. Step 3: Cross multiply
    1,116.75x = 1,676.12 × 532.11
  4. Step 4: Simplify right side
    1,116.75x = 891,877.55
  5. Step 5: Solve for x
    x = 891,877.55/1,116.75
  6. Step 6: Final answer
    x = 798.64

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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.