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Finding the Fourth Proportional to 714.64, 986.80 and 493.52

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Solution

The fourth proportional to 714.64, 986.80 and 493.52 is: 681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 986.80 = 493.52 : x
  2. Step 2: Convert to fraction form
    714.64/986.80 = 493.52/x
  3. Step 3: Cross multiply
    714.64x = 986.80 × 493.52
  4. Step 4: Simplify right side
    714.64x = 487,005.54
  5. Step 5: Solve for x
    x = 487,005.54/714.64
  6. Step 6: Final answer
    x = 681.47

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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.