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Finding the Fourth Proportional to 714.71, 987.27 and 575.37

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Solution

The fourth proportional to 714.71, 987.27 and 575.37 is: 794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 987.27 = 575.37 : x
  2. Step 2: Convert to fraction form
    714.71/987.27 = 575.37/x
  3. Step 3: Cross multiply
    714.71x = 987.27 × 575.37
  4. Step 4: Simplify right side
    714.71x = 568,043.38
  5. Step 5: Solve for x
    x = 568,043.38/714.71
  6. Step 6: Final answer
    x = 794.79

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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.