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Finding the Fourth Proportional to 1,169.78, 1,753.85 and 803.66

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Solution

The fourth proportional to 1,169.78, 1,753.85 and 803.66 is: 1,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.78 : 1,753.85 = 803.66 : x
  2. Step 2: Convert to fraction form
    1,169.78/1,753.85 = 803.66/x
  3. Step 3: Cross multiply
    1,169.78x = 1,753.85 × 803.66
  4. Step 4: Simplify right side
    1,169.78x = 1,409,492.33
  5. Step 5: Solve for x
    x = 1,409,492.33/1,169.78
  6. Step 6: Final answer
    x = 1,204.93

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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.