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Finding the Fourth Proportional to 1,763.79, 2,648.28 and 985.31

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Solution

The fourth proportional to 1,763.79, 2,648.28 and 985.31 is: 1,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.79 : 2,648.28 = 985.31 : x
  2. Step 2: Convert to fraction form
    1,763.79/2,648.28 = 985.31/x
  3. Step 3: Cross multiply
    1,763.79x = 2,648.28 × 985.31
  4. Step 4: Simplify right side
    1,763.79x = 2,609,390.66
  5. Step 5: Solve for x
    x = 2,609,390.66/1,763.79
  6. Step 6: Final answer
    x = 1,479.42

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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.