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Finding the Fourth Proportional to 710.17, 979.62 and 523.33

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Solution

The fourth proportional to 710.17, 979.62 and 523.33 is: 721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.17 : 979.62 = 523.33 : x
  2. Step 2: Convert to fraction form
    710.17/979.62 = 523.33/x
  3. Step 3: Cross multiply
    710.17x = 979.62 × 523.33
  4. Step 4: Simplify right side
    710.17x = 512,664.53
  5. Step 5: Solve for x
    x = 512,664.53/710.17
  6. Step 6: Final answer
    x = 721.89

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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.