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Finding the Fourth Proportional to 1,226.90, 1,837.10 and 648.02

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Solution

The fourth proportional to 1,226.90, 1,837.10 and 648.02 is: 970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.90 : 1,837.10 = 648.02 : x
  2. Step 2: Convert to fraction form
    1,226.90/1,837.10 = 648.02/x
  3. Step 3: Cross multiply
    1,226.90x = 1,837.10 × 648.02
  4. Step 4: Simplify right side
    1,226.90x = 1,190,477.54
  5. Step 5: Solve for x
    x = 1,190,477.54/1,226.90
  6. Step 6: Final answer
    x = 970.31

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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.