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Finding the Fourth Proportional to 709.80, 1,064.93 and 451.41

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Solution

The fourth proportional to 709.80, 1,064.93 and 451.41 is: 677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 1,064.93 = 451.41 : x
  2. Step 2: Convert to fraction form
    709.80/1,064.93 = 451.41/x
  3. Step 3: Cross multiply
    709.80x = 1,064.93 × 451.41
  4. Step 4: Simplify right side
    709.80x = 480,720.05
  5. Step 5: Solve for x
    x = 480,720.05/709.80
  6. Step 6: Final answer
    x = 677.26

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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.