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Finding the Fourth Proportional to 1,162, 1,603.56 and 638.02

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Solution

The fourth proportional to 1,162, 1,603.56 and 638.02 is: 880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162 : 1,603.56 = 638.02 : x
  2. Step 2: Convert to fraction form
    1,162/1,603.56 = 638.02/x
  3. Step 3: Cross multiply
    1,162x = 1,603.56 × 638.02
  4. Step 4: Simplify right side
    1,162x = 1,023,103.35
  5. Step 5: Solve for x
    x = 1,023,103.35/1,162
  6. Step 6: Final answer
    x = 880.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.