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Finding the Fourth Proportional to 709.61, 1,063.70 and 449.53

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Solution

The fourth proportional to 709.61, 1,063.70 and 449.53 is: 673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.61 : 1,063.70 = 449.53 : x
  2. Step 2: Convert to fraction form
    709.61/1,063.70 = 449.53/x
  3. Step 3: Cross multiply
    709.61x = 1,063.70 × 449.53
  4. Step 4: Simplify right side
    709.61x = 478,162.81
  5. Step 5: Solve for x
    x = 478,162.81/709.61
  6. Step 6: Final answer
    x = 673.84

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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.