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Finding the Fourth Proportional to 1,428.93, 1,972.06 and 869.27

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Solution

The fourth proportional to 1,428.93, 1,972.06 and 869.27 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.93 : 1,972.06 = 869.27 : x
  2. Step 2: Convert to fraction form
    1,428.93/1,972.06 = 869.27/x
  3. Step 3: Cross multiply
    1,428.93x = 1,972.06 × 869.27
  4. Step 4: Simplify right side
    1,428.93x = 1,714,252.60
  5. Step 5: Solve for x
    x = 1,714,252.60/1,428.93
  6. Step 6: Final answer
    x = 1,199.68

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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.