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Finding the Fourth Proportional to 1,152.82, 1,730.11 and 689.20

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Solution

The fourth proportional to 1,152.82, 1,730.11 and 689.20 is: 1,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.82 : 1,730.11 = 689.20 : x
  2. Step 2: Convert to fraction form
    1,152.82/1,730.11 = 689.20/x
  3. Step 3: Cross multiply
    1,152.82x = 1,730.11 × 689.20
  4. Step 4: Simplify right side
    1,152.82x = 1,192,391.81
  5. Step 5: Solve for x
    x = 1,192,391.81/1,152.82
  6. Step 6: Final answer
    x = 1,034.33

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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.