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Finding the Fourth Proportional to 1,428.90, 1,972.06 and 869.59

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Solution

The fourth proportional to 1,428.90, 1,972.06 and 869.59 is: 1,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.90 : 1,972.06 = 869.59 : x
  2. Step 2: Convert to fraction form
    1,428.90/1,972.06 = 869.59/x
  3. Step 3: Cross multiply
    1,428.90x = 1,972.06 × 869.59
  4. Step 4: Simplify right side
    1,428.90x = 1,714,880.32
  5. Step 5: Solve for x
    x = 1,714,880.32/1,428.90
  6. Step 6: Final answer
    x = 1,200.14

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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.