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Finding the Fourth Proportional to 716.22, 988.07 and 506.70

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Solution

The fourth proportional to 716.22, 988.07 and 506.70 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.22 : 988.07 = 506.70 : x
  2. Step 2: Convert to fraction form
    716.22/988.07 = 506.70/x
  3. Step 3: Cross multiply
    716.22x = 988.07 × 506.70
  4. Step 4: Simplify right side
    716.22x = 500,652.54
  5. Step 5: Solve for x
    x = 500,652.54/716.22
  6. Step 6: Final answer
    x = 699.02

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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.