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Finding the Fourth Proportional to 714.93, 1,073.42 and 456.57

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Solution

The fourth proportional to 714.93, 1,073.42 and 456.57 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.93 : 1,073.42 = 456.57 : x
  2. Step 2: Convert to fraction form
    714.93/1,073.42 = 456.57/x
  3. Step 3: Cross multiply
    714.93x = 1,073.42 × 456.57
  4. Step 4: Simplify right side
    714.93x = 490,090.80
  5. Step 5: Solve for x
    x = 490,090.80/714.93
  6. Step 6: Final answer
    x = 685.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.