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Finding the Fourth Proportional to 1,162.92, 1,603.35 and 847.92

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Solution

The fourth proportional to 1,162.92, 1,603.35 and 847.92 is: 1,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.92 : 1,603.35 = 847.92 : x
  2. Step 2: Convert to fraction form
    1,162.92/1,603.35 = 847.92/x
  3. Step 3: Cross multiply
    1,162.92x = 1,603.35 × 847.92
  4. Step 4: Simplify right side
    1,162.92x = 1,359,512.53
  5. Step 5: Solve for x
    x = 1,359,512.53/1,162.92
  6. Step 6: Final answer
    x = 1,169.05

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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.