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Finding the Fourth Proportional to 1,197.76, 1,796.16 and 807.52

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Solution

The fourth proportional to 1,197.76, 1,796.16 and 807.52 is: 1,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.76 : 1,796.16 = 807.52 : x
  2. Step 2: Convert to fraction form
    1,197.76/1,796.16 = 807.52/x
  3. Step 3: Cross multiply
    1,197.76x = 1,796.16 × 807.52
  4. Step 4: Simplify right side
    1,197.76x = 1,450,435.12
  5. Step 5: Solve for x
    x = 1,450,435.12/1,197.76
  6. Step 6: Final answer
    x = 1,210.96

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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.