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Finding the Fourth Proportional to 710.13, 979.78 and 461.46

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Solution

The fourth proportional to 710.13, 979.78 and 461.46 is: 636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.13 : 979.78 = 461.46 : x
  2. Step 2: Convert to fraction form
    710.13/979.78 = 461.46/x
  3. Step 3: Cross multiply
    710.13x = 979.78 × 461.46
  4. Step 4: Simplify right side
    710.13x = 452,129.28
  5. Step 5: Solve for x
    x = 452,129.28/710.13
  6. Step 6: Final answer
    x = 636.69

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