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Finding the Fourth Proportional to 1,412.82, 1,949.32 and 880.87

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Solution

The fourth proportional to 1,412.82, 1,949.32 and 880.87 is: 1,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.82 : 1,949.32 = 880.87 : x
  2. Step 2: Convert to fraction form
    1,412.82/1,949.32 = 880.87/x
  3. Step 3: Cross multiply
    1,412.82x = 1,949.32 × 880.87
  4. Step 4: Simplify right side
    1,412.82x = 1,717,097.51
  5. Step 5: Solve for x
    x = 1,717,097.51/1,412.82
  6. Step 6: Final answer
    x = 1,215.37

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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.