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Finding the Fourth Proportional to 1,040.45, 1,548.42 and 1,001.57

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Solution

The fourth proportional to 1,040.45, 1,548.42 and 1,001.57 is: 1,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.45 : 1,548.42 = 1,001.57 : x
  2. Step 2: Convert to fraction form
    1,040.45/1,548.42 = 1,001.57/x
  3. Step 3: Cross multiply
    1,040.45x = 1,548.42 × 1,001.57
  4. Step 4: Simplify right side
    1,040.45x = 1,550,839.52
  5. Step 5: Solve for x
    x = 1,550,839.52/1,040.45
  6. Step 6: Final answer
    x = 1,490.55

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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.