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Finding the Fourth Proportional to 1,675.95, 2,510.57 and 799.31

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Solution

The fourth proportional to 1,675.95, 2,510.57 and 799.31 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.95 : 2,510.57 = 799.31 : x
  2. Step 2: Convert to fraction form
    1,675.95/2,510.57 = 799.31/x
  3. Step 3: Cross multiply
    1,675.95x = 2,510.57 × 799.31
  4. Step 4: Simplify right side
    1,675.95x = 2,006,711.15
  5. Step 5: Solve for x
    x = 2,006,711.15/1,675.95
  6. Step 6: Final answer
    x = 1,197.36

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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.