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Finding the Fourth Proportional to 1,745.04, 2,617.56 and 770.88

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Solution

The fourth proportional to 1,745.04, 2,617.56 and 770.88 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.04 : 2,617.56 = 770.88 : x
  2. Step 2: Convert to fraction form
    1,745.04/2,617.56 = 770.88/x
  3. Step 3: Cross multiply
    1,745.04x = 2,617.56 × 770.88
  4. Step 4: Simplify right side
    1,745.04x = 2,017,824.65
  5. Step 5: Solve for x
    x = 2,017,824.65/1,745.04
  6. Step 6: Final answer
    x = 1,156.32

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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.