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Finding the Fourth Proportional to 1,141.14, 1,574.11 and 786.51

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Solution

The fourth proportional to 1,141.14, 1,574.11 and 786.51 is: 1,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.14 : 1,574.11 = 786.51 : x
  2. Step 2: Convert to fraction form
    1,141.14/1,574.11 = 786.51/x
  3. Step 3: Cross multiply
    1,141.14x = 1,574.11 × 786.51
  4. Step 4: Simplify right side
    1,141.14x = 1,238,052.03
  5. Step 5: Solve for x
    x = 1,238,052.03/1,141.14
  6. Step 6: Final answer
    x = 1,084.93

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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.