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Finding the Fourth Proportional to 1,001.09, 1,501.92 and 514.48

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Solution

The fourth proportional to 1,001.09, 1,501.92 and 514.48 is: 771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.09 : 1,501.92 = 514.48 : x
  2. Step 2: Convert to fraction form
    1,001.09/1,501.92 = 514.48/x
  3. Step 3: Cross multiply
    1,001.09x = 1,501.92 × 514.48
  4. Step 4: Simplify right side
    1,001.09x = 772,707.80
  5. Step 5: Solve for x
    x = 772,707.80/1,001.09
  6. Step 6: Final answer
    x = 771.87

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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.