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Finding the Fourth Proportional to 1,469.18, 2,203.84 and 647.54

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Solution

The fourth proportional to 1,469.18, 2,203.84 and 647.54 is: 971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.18 : 2,203.84 = 647.54 : x
  2. Step 2: Convert to fraction form
    1,469.18/2,203.84 = 647.54/x
  3. Step 3: Cross multiply
    1,469.18x = 2,203.84 × 647.54
  4. Step 4: Simplify right side
    1,469.18x = 1,427,074.55
  5. Step 5: Solve for x
    x = 1,427,074.55/1,469.18
  6. Step 6: Final answer
    x = 971.34

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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.