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Finding the Fourth Proportional to 1,307.71, 1,959.67 and 998.56

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Solution

The fourth proportional to 1,307.71, 1,959.67 and 998.56 is: 1,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.71 : 1,959.67 = 998.56 : x
  2. Step 2: Convert to fraction form
    1,307.71/1,959.67 = 998.56/x
  3. Step 3: Cross multiply
    1,307.71x = 1,959.67 × 998.56
  4. Step 4: Simplify right side
    1,307.71x = 1,956,848.08
  5. Step 5: Solve for x
    x = 1,956,848.08/1,307.71
  6. Step 6: Final answer
    x = 1,496.39

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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.