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Finding the Fourth Proportional to 1,097.03, 1,643.24 and 512.53

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Solution

The fourth proportional to 1,097.03, 1,643.24 and 512.53 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.03 : 1,643.24 = 512.53 : x
  2. Step 2: Convert to fraction form
    1,097.03/1,643.24 = 512.53/x
  3. Step 3: Cross multiply
    1,097.03x = 1,643.24 × 512.53
  4. Step 4: Simplify right side
    1,097.03x = 842,206.97
  5. Step 5: Solve for x
    x = 842,206.97/1,097.03
  6. Step 6: Final answer
    x = 767.71

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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.