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Finding the Fourth Proportional to 716.44, 988.36 and 506.58

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Solution

The fourth proportional to 716.44, 988.36 and 506.58 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.44 : 988.36 = 506.58 : x
  2. Step 2: Convert to fraction form
    716.44/988.36 = 506.58/x
  3. Step 3: Cross multiply
    716.44x = 988.36 × 506.58
  4. Step 4: Simplify right side
    716.44x = 500,683.41
  5. Step 5: Solve for x
    x = 500,683.41/716.44
  6. Step 6: Final answer
    x = 698.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.