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Finding the Fourth Proportional to 709.37, 1,062.28 and 448.59

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Solution

The fourth proportional to 709.37, 1,062.28 and 448.59 is: 671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.37 : 1,062.28 = 448.59 : x
  2. Step 2: Convert to fraction form
    709.37/1,062.28 = 448.59/x
  3. Step 3: Cross multiply
    709.37x = 1,062.28 × 448.59
  4. Step 4: Simplify right side
    709.37x = 476,526.75
  5. Step 5: Solve for x
    x = 476,526.75/709.37
  6. Step 6: Final answer
    x = 671.76

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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.