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Finding the Fourth Proportional to 1,147.13, 1,719.87 and 818.07

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Solution

The fourth proportional to 1,147.13, 1,719.87 and 818.07 is: 1,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.13 : 1,719.87 = 818.07 : x
  2. Step 2: Convert to fraction form
    1,147.13/1,719.87 = 818.07/x
  3. Step 3: Cross multiply
    1,147.13x = 1,719.87 × 818.07
  4. Step 4: Simplify right side
    1,147.13x = 1,406,974.05
  5. Step 5: Solve for x
    x = 1,406,974.05/1,147.13
  6. Step 6: Final answer
    x = 1,226.52

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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.