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Finding the Fourth Proportional to 1,487.68, 2,052.45 and 898

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Solution

The fourth proportional to 1,487.68, 2,052.45 and 898 is: 1,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.68 : 2,052.45 = 898 : x
  2. Step 2: Convert to fraction form
    1,487.68/2,052.45 = 898/x
  3. Step 3: Cross multiply
    1,487.68x = 2,052.45 × 898
  4. Step 4: Simplify right side
    1,487.68x = 1,843,100.10
  5. Step 5: Solve for x
    x = 1,843,100.10/1,487.68
  6. Step 6: Final answer
    x = 1,238.91

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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.