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Finding the Fourth Proportional to 1,648.63, 2,472.33 and 552.70

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Solution

The fourth proportional to 1,648.63, 2,472.33 and 552.70 is: 828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.63 : 2,472.33 = 552.70 : x
  2. Step 2: Convert to fraction form
    1,648.63/2,472.33 = 552.70/x
  3. Step 3: Cross multiply
    1,648.63x = 2,472.33 × 552.70
  4. Step 4: Simplify right side
    1,648.63x = 1,366,456.79
  5. Step 5: Solve for x
    x = 1,366,456.79/1,648.63
  6. Step 6: Final answer
    x = 828.84

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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.