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Finding the Fourth Proportional to 1,013.92, 1,521.42 and 436.75

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Solution

The fourth proportional to 1,013.92, 1,521.42 and 436.75 is: 655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.92 : 1,521.42 = 436.75 : x
  2. Step 2: Convert to fraction form
    1,013.92/1,521.42 = 436.75/x
  3. Step 3: Cross multiply
    1,013.92x = 1,521.42 × 436.75
  4. Step 4: Simplify right side
    1,013.92x = 664,480.19
  5. Step 5: Solve for x
    x = 664,480.19/1,013.92
  6. Step 6: Final answer
    x = 655.36

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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.