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Finding the Fourth Proportional to 1,648.32, 2,469.86 and 606.88

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Solution

The fourth proportional to 1,648.32, 2,469.86 and 606.88 is: 909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.32 : 2,469.86 = 606.88 : x
  2. Step 2: Convert to fraction form
    1,648.32/2,469.86 = 606.88/x
  3. Step 3: Cross multiply
    1,648.32x = 2,469.86 × 606.88
  4. Step 4: Simplify right side
    1,648.32x = 1,498,908.64
  5. Step 5: Solve for x
    x = 1,498,908.64/1,648.32
  6. Step 6: Final answer
    x = 909.36

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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.