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Finding the Fourth Proportional to 1,818.35, 2,727.27 and 648.30

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Solution

The fourth proportional to 1,818.35, 2,727.27 and 648.30 is: 972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.35 : 2,727.27 = 648.30 : x
  2. Step 2: Convert to fraction form
    1,818.35/2,727.27 = 648.30/x
  3. Step 3: Cross multiply
    1,818.35x = 2,727.27 × 648.30
  4. Step 4: Simplify right side
    1,818.35x = 1,768,089.14
  5. Step 5: Solve for x
    x = 1,768,089.14/1,818.35
  6. Step 6: Final answer
    x = 972.36

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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.