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Finding the Fourth Proportional to 1,418, 2,127.04 and 648.56

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Solution

The fourth proportional to 1,418, 2,127.04 and 648.56 is: 972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418 : 2,127.04 = 648.56 : x
  2. Step 2: Convert to fraction form
    1,418/2,127.04 = 648.56/x
  3. Step 3: Cross multiply
    1,418x = 2,127.04 × 648.56
  4. Step 4: Simplify right side
    1,418x = 1,379,513.06
  5. Step 5: Solve for x
    x = 1,379,513.06/1,418
  6. Step 6: Final answer
    x = 972.86

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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.