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Finding the Fourth Proportional to 709.80, 1,064.28 and 449.16

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Solution

The fourth proportional to 709.80, 1,064.28 and 449.16 is: 673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 1,064.28 = 449.16 : x
  2. Step 2: Convert to fraction form
    709.80/1,064.28 = 449.16/x
  3. Step 3: Cross multiply
    709.80x = 1,064.28 × 449.16
  4. Step 4: Simplify right side
    709.80x = 478,032.00
  5. Step 5: Solve for x
    x = 478,032.00/709.80
  6. Step 6: Final answer
    x = 673.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.