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Finding the Fourth Proportional to 1,197.52, 1,795.72 and 466.56

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Solution

The fourth proportional to 1,197.52, 1,795.72 and 466.56 is: 699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.52 : 1,795.72 = 466.56 : x
  2. Step 2: Convert to fraction form
    1,197.52/1,795.72 = 466.56/x
  3. Step 3: Cross multiply
    1,197.52x = 1,795.72 × 466.56
  4. Step 4: Simplify right side
    1,197.52x = 837,811.12
  5. Step 5: Solve for x
    x = 837,811.12/1,197.52
  6. Step 6: Final answer
    x = 699.62

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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.