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Finding the Fourth Proportional to 714.82, 1,071.06 and 457.78

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Solution

The fourth proportional to 714.82, 1,071.06 and 457.78 is: 685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.82 : 1,071.06 = 457.78 : x
  2. Step 2: Convert to fraction form
    714.82/1,071.06 = 457.78/x
  3. Step 3: Cross multiply
    714.82x = 1,071.06 × 457.78
  4. Step 4: Simplify right side
    714.82x = 490,309.85
  5. Step 5: Solve for x
    x = 490,309.85/714.82
  6. Step 6: Final answer
    x = 685.92

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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.