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Finding the Fourth Proportional to 716.75, 988.58 and 496.07

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Solution

The fourth proportional to 716.75, 988.58 and 496.07 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.75 : 988.58 = 496.07 : x
  2. Step 2: Convert to fraction form
    716.75/988.58 = 496.07/x
  3. Step 3: Cross multiply
    716.75x = 988.58 × 496.07
  4. Step 4: Simplify right side
    716.75x = 490,402.40
  5. Step 5: Solve for x
    x = 490,402.40/716.75
  6. Step 6: Final answer
    x = 684.20

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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.