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Finding the Fourth Proportional to 1,197.08, 1,794.56 and 467.17

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Solution

The fourth proportional to 1,197.08, 1,794.56 and 467.17 is: 700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.08 : 1,794.56 = 467.17 : x
  2. Step 2: Convert to fraction form
    1,197.08/1,794.56 = 467.17/x
  3. Step 3: Cross multiply
    1,197.08x = 1,794.56 × 467.17
  4. Step 4: Simplify right side
    1,197.08x = 838,357.77
  5. Step 5: Solve for x
    x = 838,357.77/1,197.08
  6. Step 6: Final answer
    x = 700.34

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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.