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Finding the Fourth Proportional to 714.50, 985.47 and 493.82

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Solution

The fourth proportional to 714.50, 985.47 and 493.82 is: 681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.50 : 985.47 = 493.82 : x
  2. Step 2: Convert to fraction form
    714.50/985.47 = 493.82/x
  3. Step 3: Cross multiply
    714.50x = 985.47 × 493.82
  4. Step 4: Simplify right side
    714.50x = 486,644.80
  5. Step 5: Solve for x
    x = 486,644.80/714.50
  6. Step 6: Final answer
    x = 681.10

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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.