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Finding the Fourth Proportional to 1,197.74, 1,796.71 and 332.05

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Solution

The fourth proportional to 1,197.74, 1,796.71 and 332.05 is: 498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.74 : 1,796.71 = 332.05 : x
  2. Step 2: Convert to fraction form
    1,197.74/1,796.71 = 332.05/x
  3. Step 3: Cross multiply
    1,197.74x = 1,796.71 × 332.05
  4. Step 4: Simplify right side
    1,197.74x = 596,597.56
  5. Step 5: Solve for x
    x = 596,597.56/1,197.74
  6. Step 6: Final answer
    x = 498.10

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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.