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Finding the Fourth Proportional to 1,325.80, 1,830.18 and 1,064.20

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Solution

The fourth proportional to 1,325.80, 1,830.18 and 1,064.20 is: 1,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.80 : 1,830.18 = 1,064.20 : x
  2. Step 2: Convert to fraction form
    1,325.80/1,830.18 = 1,064.20/x
  3. Step 3: Cross multiply
    1,325.80x = 1,830.18 × 1,064.20
  4. Step 4: Simplify right side
    1,325.80x = 1,947,677.56
  5. Step 5: Solve for x
    x = 1,947,677.56/1,325.80
  6. Step 6: Final answer
    x = 1,469.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.