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Finding the Fourth Proportional to 1,151.46, 1,725.82 and 663.50

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Solution

The fourth proportional to 1,151.46, 1,725.82 and 663.50 is: 994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.46 : 1,725.82 = 663.50 : x
  2. Step 2: Convert to fraction form
    1,151.46/1,725.82 = 663.50/x
  3. Step 3: Cross multiply
    1,151.46x = 1,725.82 × 663.50
  4. Step 4: Simplify right side
    1,151.46x = 1,145,081.57
  5. Step 5: Solve for x
    x = 1,145,081.57/1,151.46
  6. Step 6: Final answer
    x = 994.46

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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.