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Finding the Fourth Proportional to 710.26, 979.99 and 616.84

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Solution

The fourth proportional to 710.26, 979.99 and 616.84 is: 851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.26 : 979.99 = 616.84 : x
  2. Step 2: Convert to fraction form
    710.26/979.99 = 616.84/x
  3. Step 3: Cross multiply
    710.26x = 979.99 × 616.84
  4. Step 4: Simplify right side
    710.26x = 604,497.03
  5. Step 5: Solve for x
    x = 604,497.03/710.26
  6. Step 6: Final answer
    x = 851.09

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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.