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Finding the Fourth Proportional to 1,197.75, 1,796.63 and 332.07

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Solution

The fourth proportional to 1,197.75, 1,796.63 and 332.07 is: 498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.75 : 1,796.63 = 332.07 : x
  2. Step 2: Convert to fraction form
    1,197.75/1,796.63 = 332.07/x
  3. Step 3: Cross multiply
    1,197.75x = 1,796.63 × 332.07
  4. Step 4: Simplify right side
    1,197.75x = 596,605.26
  5. Step 5: Solve for x
    x = 596,605.26/1,197.75
  6. Step 6: Final answer
    x = 498.11

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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.