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Finding the Fourth Proportional to 1,190.84, 1,773.24 and 1,147.10

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Solution

The fourth proportional to 1,190.84, 1,773.24 and 1,147.10 is: 1,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.84 : 1,773.24 = 1,147.10 : x
  2. Step 2: Convert to fraction form
    1,190.84/1,773.24 = 1,147.10/x
  3. Step 3: Cross multiply
    1,190.84x = 1,773.24 × 1,147.10
  4. Step 4: Simplify right side
    1,190.84x = 2,034,083.60
  5. Step 5: Solve for x
    x = 2,034,083.60/1,190.84
  6. Step 6: Final answer
    x = 1,708.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.