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Finding the Fourth Proportional to 738.24, 1,105.74 and 462.84

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Solution

The fourth proportional to 738.24, 1,105.74 and 462.84 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.24 : 1,105.74 = 462.84 : x
  2. Step 2: Convert to fraction form
    738.24/1,105.74 = 462.84/x
  3. Step 3: Cross multiply
    738.24x = 1,105.74 × 462.84
  4. Step 4: Simplify right side
    738.24x = 511,780.70
  5. Step 5: Solve for x
    x = 511,780.70/738.24
  6. Step 6: Final answer
    x = 693.24

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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.