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Finding the Fourth Proportional to 1,162.66, 1,603.03 and 830.96

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Solution

The fourth proportional to 1,162.66, 1,603.03 and 830.96 is: 1,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.66 : 1,603.03 = 830.96 : x
  2. Step 2: Convert to fraction form
    1,162.66/1,603.03 = 830.96/x
  3. Step 3: Cross multiply
    1,162.66x = 1,603.03 × 830.96
  4. Step 4: Simplify right side
    1,162.66x = 1,332,049.65
  5. Step 5: Solve for x
    x = 1,332,049.65/1,162.66
  6. Step 6: Final answer
    x = 1,145.70

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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.