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Finding the Fourth Proportional to 1,002.74, 1,505.09 and 541.51

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Solution

The fourth proportional to 1,002.74, 1,505.09 and 541.51 is: 812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.74 : 1,505.09 = 541.51 : x
  2. Step 2: Convert to fraction form
    1,002.74/1,505.09 = 541.51/x
  3. Step 3: Cross multiply
    1,002.74x = 1,505.09 × 541.51
  4. Step 4: Simplify right side
    1,002.74x = 815,017.52
  5. Step 5: Solve for x
    x = 815,017.52/1,002.74
  6. Step 6: Final answer
    x = 812.79

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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.