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Finding the Fourth Proportional to 1,528.35, 2,294.03 and 798.51

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Solution

The fourth proportional to 1,528.35, 2,294.03 and 798.51 is: 1,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.35 : 2,294.03 = 798.51 : x
  2. Step 2: Convert to fraction form
    1,528.35/2,294.03 = 798.51/x
  3. Step 3: Cross multiply
    1,528.35x = 2,294.03 × 798.51
  4. Step 4: Simplify right side
    1,528.35x = 1,831,801.90
  5. Step 5: Solve for x
    x = 1,831,801.90/1,528.35
  6. Step 6: Final answer
    x = 1,198.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.