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Finding the Fourth Proportional to 1,102.38, 1,521.24 and 605.04

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Solution

The fourth proportional to 1,102.38, 1,521.24 and 605.04 is: 834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,521.24 = 605.04 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,521.24 = 605.04/x
  3. Step 3: Cross multiply
    1,102.38x = 1,521.24 × 605.04
  4. Step 4: Simplify right side
    1,102.38x = 920,411.05
  5. Step 5: Solve for x
    x = 920,411.05/1,102.38
  6. Step 6: Final answer
    x = 834.93

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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.