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Finding the Fourth Proportional to 714.64, 985.68 and 493.60

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Solution

The fourth proportional to 714.64, 985.68 and 493.60 is: 680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 985.68 = 493.60 : x
  2. Step 2: Convert to fraction form
    714.64/985.68 = 493.60/x
  3. Step 3: Cross multiply
    714.64x = 985.68 × 493.60
  4. Step 4: Simplify right side
    714.64x = 486,531.65
  5. Step 5: Solve for x
    x = 486,531.65/714.64
  6. Step 6: Final answer
    x = 680.81

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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.