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Finding the Fourth Proportional to 1,114.45, 1,537.23 and 878.14

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Solution

The fourth proportional to 1,114.45, 1,537.23 and 878.14 is: 1,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.45 : 1,537.23 = 878.14 : x
  2. Step 2: Convert to fraction form
    1,114.45/1,537.23 = 878.14/x
  3. Step 3: Cross multiply
    1,114.45x = 1,537.23 × 878.14
  4. Step 4: Simplify right side
    1,114.45x = 1,349,908.37
  5. Step 5: Solve for x
    x = 1,349,908.37/1,114.45
  6. Step 6: Final answer
    x = 1,211.28

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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.