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Finding the Fourth Proportional to 1,560.26, 2,339.78 and 780.02

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Solution

The fourth proportional to 1,560.26, 2,339.78 and 780.02 is: 1,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.26 : 2,339.78 = 780.02 : x
  2. Step 2: Convert to fraction form
    1,560.26/2,339.78 = 780.02/x
  3. Step 3: Cross multiply
    1,560.26x = 2,339.78 × 780.02
  4. Step 4: Simplify right side
    1,560.26x = 1,825,075.20
  5. Step 5: Solve for x
    x = 1,825,075.20/1,560.26
  6. Step 6: Final answer
    x = 1,169.73

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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.