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Finding the Fourth Proportional to 1,539.65, 2,309.82 and 717.50

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Solution

The fourth proportional to 1,539.65, 2,309.82 and 717.50 is: 1,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.65 : 2,309.82 = 717.50 : x
  2. Step 2: Convert to fraction form
    1,539.65/2,309.82 = 717.50/x
  3. Step 3: Cross multiply
    1,539.65x = 2,309.82 × 717.50
  4. Step 4: Simplify right side
    1,539.65x = 1,657,295.85
  5. Step 5: Solve for x
    x = 1,657,295.85/1,539.65
  6. Step 6: Final answer
    x = 1,076.41

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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.