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Finding the Fourth Proportional to 1,097.04, 1,645.88 and 519.12

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Solution

The fourth proportional to 1,097.04, 1,645.88 and 519.12 is: 778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.04 : 1,645.88 = 519.12 : x
  2. Step 2: Convert to fraction form
    1,097.04/1,645.88 = 519.12/x
  3. Step 3: Cross multiply
    1,097.04x = 1,645.88 × 519.12
  4. Step 4: Simplify right side
    1,097.04x = 854,409.23
  5. Step 5: Solve for x
    x = 854,409.23/1,097.04
  6. Step 6: Final answer
    x = 778.83

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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.