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Finding the Fourth Proportional to 1,097.04, 1,645.52 and 275.28

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Solution

The fourth proportional to 1,097.04, 1,645.52 and 275.28 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.04 : 1,645.52 = 275.28 : x
  2. Step 2: Convert to fraction form
    1,097.04/1,645.52 = 275.28/x
  3. Step 3: Cross multiply
    1,097.04x = 1,645.52 × 275.28
  4. Step 4: Simplify right side
    1,097.04x = 452,978.75
  5. Step 5: Solve for x
    x = 452,978.75/1,097.04
  6. Step 6: Final answer
    x = 412.91

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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.