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Finding the Fourth Proportional to 1,154.70, 1,729.32 and 824.58

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Solution

The fourth proportional to 1,154.70, 1,729.32 and 824.58 is: 1,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.70 : 1,729.32 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,154.70/1,729.32 = 824.58/x
  3. Step 3: Cross multiply
    1,154.70x = 1,729.32 × 824.58
  4. Step 4: Simplify right side
    1,154.70x = 1,425,962.69
  5. Step 5: Solve for x
    x = 1,425,962.69/1,154.70
  6. Step 6: Final answer
    x = 1,234.92

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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.