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Finding the Fourth Proportional to 1,429.27, 1,971.81 and 869.29

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Solution

The fourth proportional to 1,429.27, 1,971.81 and 869.29 is: 1,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.27 : 1,971.81 = 869.29 : x
  2. Step 2: Convert to fraction form
    1,429.27/1,971.81 = 869.29/x
  3. Step 3: Cross multiply
    1,429.27x = 1,971.81 × 869.29
  4. Step 4: Simplify right side
    1,429.27x = 1,714,069.79
  5. Step 5: Solve for x
    x = 1,714,069.79/1,429.27
  6. Step 6: Final answer
    x = 1,199.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.