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Finding the Fourth Proportional to 1,098.51, 1,648.28 and 482.14

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Solution

The fourth proportional to 1,098.51, 1,648.28 and 482.14 is: 723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.51 : 1,648.28 = 482.14 : x
  2. Step 2: Convert to fraction form
    1,098.51/1,648.28 = 482.14/x
  3. Step 3: Cross multiply
    1,098.51x = 1,648.28 × 482.14
  4. Step 4: Simplify right side
    1,098.51x = 794,691.07
  5. Step 5: Solve for x
    x = 794,691.07/1,098.51
  6. Step 6: Final answer
    x = 723.43

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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.