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Finding the Fourth Proportional to 1,487.83, 2,052.56 and 898.02

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Solution

The fourth proportional to 1,487.83, 2,052.56 and 898.02 is: 1,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.83 : 2,052.56 = 898.02 : x
  2. Step 2: Convert to fraction form
    1,487.83/2,052.56 = 898.02/x
  3. Step 3: Cross multiply
    1,487.83x = 2,052.56 × 898.02
  4. Step 4: Simplify right side
    1,487.83x = 1,843,235.44
  5. Step 5: Solve for x
    x = 1,843,235.44/1,487.83
  6. Step 6: Final answer
    x = 1,238.88

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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.