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Finding the Fourth Proportional to 1,197.65, 1,797.12 and 467.24

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Solution

The fourth proportional to 1,197.65, 1,797.12 and 467.24 is: 701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.65 : 1,797.12 = 467.24 : x
  2. Step 2: Convert to fraction form
    1,197.65/1,797.12 = 467.24/x
  3. Step 3: Cross multiply
    1,197.65x = 1,797.12 × 467.24
  4. Step 4: Simplify right side
    1,197.65x = 839,677.36
  5. Step 5: Solve for x
    x = 839,677.36/1,197.65
  6. Step 6: Final answer
    x = 701.10

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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.