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Finding the Fourth Proportional to 1,197.32, 1,796.47 and 648.86

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Solution

The fourth proportional to 1,197.32, 1,796.47 and 648.86 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.32 : 1,796.47 = 648.86 : x
  2. Step 2: Convert to fraction form
    1,197.32/1,796.47 = 648.86/x
  3. Step 3: Cross multiply
    1,197.32x = 1,796.47 × 648.86
  4. Step 4: Simplify right side
    1,197.32x = 1,165,657.52
  5. Step 5: Solve for x
    x = 1,165,657.52/1,197.32
  6. Step 6: Final answer
    x = 973.56

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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.