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Finding the Fourth Proportional to 1,013.93, 1,514.05 and 1,003.21

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Solution

The fourth proportional to 1,013.93, 1,514.05 and 1,003.21 is: 1,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.93 : 1,514.05 = 1,003.21 : x
  2. Step 2: Convert to fraction form
    1,013.93/1,514.05 = 1,003.21/x
  3. Step 3: Cross multiply
    1,013.93x = 1,514.05 × 1,003.21
  4. Step 4: Simplify right side
    1,013.93x = 1,518,912.61
  5. Step 5: Solve for x
    x = 1,518,912.61/1,013.93
  6. Step 6: Final answer
    x = 1,498.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.