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Finding the Fourth Proportional to 709.94, 979.71 and 461.74

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Solution

The fourth proportional to 709.94, 979.71 and 461.74 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.94 : 979.71 = 461.74 : x
  2. Step 2: Convert to fraction form
    709.94/979.71 = 461.74/x
  3. Step 3: Cross multiply
    709.94x = 979.71 × 461.74
  4. Step 4: Simplify right side
    709.94x = 452,368.22
  5. Step 5: Solve for x
    x = 452,368.22/709.94
  6. Step 6: Final answer
    x = 637.19

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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.