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Finding the Fourth Proportional to 714.88, 986.94 and 502.54

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Solution

The fourth proportional to 714.88, 986.94 and 502.54 is: 693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 986.94 = 502.54 : x
  2. Step 2: Convert to fraction form
    714.88/986.94 = 502.54/x
  3. Step 3: Cross multiply
    714.88x = 986.94 × 502.54
  4. Step 4: Simplify right side
    714.88x = 495,976.83
  5. Step 5: Solve for x
    x = 495,976.83/714.88
  6. Step 6: Final answer
    x = 693.79

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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.