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Finding the Fourth Proportional to 1,161.45, 1,736.10 and 866.19

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Solution

The fourth proportional to 1,161.45, 1,736.10 and 866.19 is: 1,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.45 : 1,736.10 = 866.19 : x
  2. Step 2: Convert to fraction form
    1,161.45/1,736.10 = 866.19/x
  3. Step 3: Cross multiply
    1,161.45x = 1,736.10 × 866.19
  4. Step 4: Simplify right side
    1,161.45x = 1,503,792.46
  5. Step 5: Solve for x
    x = 1,503,792.46/1,161.45
  6. Step 6: Final answer
    x = 1,294.75

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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.