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Finding the Fourth Proportional to 716.84, 987.42 and 506.64

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Solution

The fourth proportional to 716.84, 987.42 and 506.64 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 987.42 = 506.64 : x
  2. Step 2: Convert to fraction form
    716.84/987.42 = 506.64/x
  3. Step 3: Cross multiply
    716.84x = 987.42 × 506.64
  4. Step 4: Simplify right side
    716.84x = 500,266.47
  5. Step 5: Solve for x
    x = 500,266.47/716.84
  6. Step 6: Final answer
    x = 697.88

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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.