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Finding the Fourth Proportional to 709.74, 979.92 and 461.43

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Solution

The fourth proportional to 709.74, 979.92 and 461.43 is: 637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 979.92 = 461.43 : x
  2. Step 2: Convert to fraction form
    709.74/979.92 = 461.43/x
  3. Step 3: Cross multiply
    709.74x = 979.92 × 461.43
  4. Step 4: Simplify right side
    709.74x = 452,164.49
  5. Step 5: Solve for x
    x = 452,164.49/709.74
  6. Step 6: Final answer
    x = 637.08

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1.5x scale

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.