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Finding the Fourth Proportional to 716.44, 987.64 and 505.94

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Solution

The fourth proportional to 716.44, 987.64 and 505.94 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.44 : 987.64 = 505.94 : x
  2. Step 2: Convert to fraction form
    716.44/987.64 = 505.94/x
  3. Step 3: Cross multiply
    716.44x = 987.64 × 505.94
  4. Step 4: Simplify right side
    716.44x = 499,686.58
  5. Step 5: Solve for x
    x = 499,686.58/716.44
  6. Step 6: Final answer
    x = 697.46

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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.