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Finding the Fourth Proportional to 687.28, 1,031.14 and 457.07

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Solution

The fourth proportional to 687.28, 1,031.14 and 457.07 is: 685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.28 : 1,031.14 = 457.07 : x
  2. Step 2: Convert to fraction form
    687.28/1,031.14 = 457.07/x
  3. Step 3: Cross multiply
    687.28x = 1,031.14 × 457.07
  4. Step 4: Simplify right side
    687.28x = 471,307.95
  5. Step 5: Solve for x
    x = 471,307.95/687.28
  6. Step 6: Final answer
    x = 685.76

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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.