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Finding the Fourth Proportional to 1,563.77, 2,158 and 865.14

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Solution

The fourth proportional to 1,563.77, 2,158 and 865.14 is: 1,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.77 : 2,158 = 865.14 : x
  2. Step 2: Convert to fraction form
    1,563.77/2,158 = 865.14/x
  3. Step 3: Cross multiply
    1,563.77x = 2,158 × 865.14
  4. Step 4: Simplify right side
    1,563.77x = 1,866,972.12
  5. Step 5: Solve for x
    x = 1,866,972.12/1,563.77
  6. Step 6: Final answer
    x = 1,193.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.