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Finding the Fourth Proportional to 1,003.39, 1,498.30 and 879.05

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Solution

The fourth proportional to 1,003.39, 1,498.30 and 879.05 is: 1,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.39 : 1,498.30 = 879.05 : x
  2. Step 2: Convert to fraction form
    1,003.39/1,498.30 = 879.05/x
  3. Step 3: Cross multiply
    1,003.39x = 1,498.30 × 879.05
  4. Step 4: Simplify right side
    1,003.39x = 1,317,082.16
  5. Step 5: Solve for x
    x = 1,317,082.16/1,003.39
  6. Step 6: Final answer
    x = 1,312.64

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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.