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Finding the Fourth Proportional to 1,003.41, 1,390.25 and 987.62

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Solution

The fourth proportional to 1,003.41, 1,390.25 and 987.62 is: 1,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.41 : 1,390.25 = 987.62 : x
  2. Step 2: Convert to fraction form
    1,003.41/1,390.25 = 987.62/x
  3. Step 3: Cross multiply
    1,003.41x = 1,390.25 × 987.62
  4. Step 4: Simplify right side
    1,003.41x = 1,373,034.22
  5. Step 5: Solve for x
    x = 1,373,034.22/1,003.41
  6. Step 6: Final answer
    x = 1,368.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.