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Finding the Fourth Proportional to 1,097.30, 1,645.89 and 275.55

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Solution

The fourth proportional to 1,097.30, 1,645.89 and 275.55 is: 413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.30 : 1,645.89 = 275.55 : x
  2. Step 2: Convert to fraction form
    1,097.30/1,645.89 = 275.55/x
  3. Step 3: Cross multiply
    1,097.30x = 1,645.89 × 275.55
  4. Step 4: Simplify right side
    1,097.30x = 453,524.99
  5. Step 5: Solve for x
    x = 453,524.99/1,097.30
  6. Step 6: Final answer
    x = 413.31

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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.