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Finding the Fourth Proportional to 1,307.37, 1,959.39 and 998.31

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Solution

The fourth proportional to 1,307.37, 1,959.39 and 998.31 is: 1,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.37 : 1,959.39 = 998.31 : x
  2. Step 2: Convert to fraction form
    1,307.37/1,959.39 = 998.31/x
  3. Step 3: Cross multiply
    1,307.37x = 1,959.39 × 998.31
  4. Step 4: Simplify right side
    1,307.37x = 1,956,078.63
  5. Step 5: Solve for x
    x = 1,956,078.63/1,307.37
  6. Step 6: Final answer
    x = 1,496.19

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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.