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Finding the Fourth Proportional to 714.52, 986 and 404

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Solution

The fourth proportional to 714.52, 986 and 404 is: 557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.52 : 986 = 404 : x
  2. Step 2: Convert to fraction form
    714.52/986 = 404/x
  3. Step 3: Cross multiply
    714.52x = 986 × 404
  4. Step 4: Simplify right side
    714.52x = 398,344
  5. Step 5: Solve for x
    x = 398,344/714.52
  6. Step 6: Final answer
    x = 557.50

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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.