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Finding the Fourth Proportional to 1,429.09, 1,972.16 and 808.09

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Solution

The fourth proportional to 1,429.09, 1,972.16 and 808.09 is: 1,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.09 : 1,972.16 = 808.09 : x
  2. Step 2: Convert to fraction form
    1,429.09/1,972.16 = 808.09/x
  3. Step 3: Cross multiply
    1,429.09x = 1,972.16 × 808.09
  4. Step 4: Simplify right side
    1,429.09x = 1,593,682.77
  5. Step 5: Solve for x
    x = 1,593,682.77/1,429.09
  6. Step 6: Final answer
    x = 1,115.17

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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.