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Finding the Fourth Proportional to 716.16, 988.54 and 495.84

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Solution

The fourth proportional to 716.16, 988.54 and 495.84 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.16 : 988.54 = 495.84 : x
  2. Step 2: Convert to fraction form
    716.16/988.54 = 495.84/x
  3. Step 3: Cross multiply
    716.16x = 988.54 × 495.84
  4. Step 4: Simplify right side
    716.16x = 490,157.67
  5. Step 5: Solve for x
    x = 490,157.67/716.16
  6. Step 6: Final answer
    x = 684.42

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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.