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Finding the Fourth Proportional to 1,161.76, 1,742.92 and 675.24

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Solution

The fourth proportional to 1,161.76, 1,742.92 and 675.24 is: 1,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.76 : 1,742.92 = 675.24 : x
  2. Step 2: Convert to fraction form
    1,161.76/1,742.92 = 675.24/x
  3. Step 3: Cross multiply
    1,161.76x = 1,742.92 × 675.24
  4. Step 4: Simplify right side
    1,161.76x = 1,176,889.30
  5. Step 5: Solve for x
    x = 1,176,889.30/1,161.76
  6. Step 6: Final answer
    x = 1,013.02

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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.