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Finding the Fourth Proportional to 1,429.41, 1,972.00 and 869.43

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Solution

The fourth proportional to 1,429.41, 1,972.00 and 869.43 is: 1,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.41 : 1,972.00 = 869.43 : x
  2. Step 2: Convert to fraction form
    1,429.41/1,972.00 = 869.43/x
  3. Step 3: Cross multiply
    1,429.41x = 1,972.00 × 869.43
  4. Step 4: Simplify right side
    1,429.41x = 1,714,515.79
  5. Step 5: Solve for x
    x = 1,714,515.79/1,429.41
  6. Step 6: Final answer
    x = 1,199.46

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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.