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Finding the Fourth Proportional to 1,232.14, 1,699.94 and 878.11

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Solution

The fourth proportional to 1,232.14, 1,699.94 and 878.11 is: 1,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.14 : 1,699.94 = 878.11 : x
  2. Step 2: Convert to fraction form
    1,232.14/1,699.94 = 878.11/x
  3. Step 3: Cross multiply
    1,232.14x = 1,699.94 × 878.11
  4. Step 4: Simplify right side
    1,232.14x = 1,492,740.76
  5. Step 5: Solve for x
    x = 1,492,740.76/1,232.14
  6. Step 6: Final answer
    x = 1,211.51

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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.