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Finding the Fourth Proportional to 687.48, 1,031.28 and 482.28

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Solution

The fourth proportional to 687.48, 1,031.28 and 482.28 is: 723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.48 : 1,031.28 = 482.28 : x
  2. Step 2: Convert to fraction form
    687.48/1,031.28 = 482.28/x
  3. Step 3: Cross multiply
    687.48x = 1,031.28 × 482.28
  4. Step 4: Simplify right side
    687.48x = 497,365.72
  5. Step 5: Solve for x
    x = 497,365.72/687.48
  6. Step 6: Final answer
    x = 723.46

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