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Finding the Fourth Proportional to 1,003.83, 1,503.91 and 874.23

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Solution

The fourth proportional to 1,003.83, 1,503.91 and 874.23 is: 1,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.83 : 1,503.91 = 874.23 : x
  2. Step 2: Convert to fraction form
    1,003.83/1,503.91 = 874.23/x
  3. Step 3: Cross multiply
    1,003.83x = 1,503.91 × 874.23
  4. Step 4: Simplify right side
    1,003.83x = 1,314,763.24
  5. Step 5: Solve for x
    x = 1,314,763.24/1,003.83
  6. Step 6: Final answer
    x = 1,309.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.