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Finding the Fourth Proportional to 709.41, 977.77 and 487.97

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Solution

The fourth proportional to 709.41, 977.77 and 487.97 is: 672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 977.77 = 487.97 : x
  2. Step 2: Convert to fraction form
    709.41/977.77 = 487.97/x
  3. Step 3: Cross multiply
    709.41x = 977.77 × 487.97
  4. Step 4: Simplify right side
    709.41x = 477,127.31
  5. Step 5: Solve for x
    x = 477,127.31/709.41
  6. Step 6: Final answer
    x = 672.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.