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Finding the Fourth Proportional to 1,648.22, 2,472.47 and 478.25

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Solution

The fourth proportional to 1,648.22, 2,472.47 and 478.25 is: 717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.22 : 2,472.47 = 478.25 : x
  2. Step 2: Convert to fraction form
    1,648.22/2,472.47 = 478.25/x
  3. Step 3: Cross multiply
    1,648.22x = 2,472.47 × 478.25
  4. Step 4: Simplify right side
    1,648.22x = 1,182,444.02
  5. Step 5: Solve for x
    x = 1,182,444.02/1,648.22
  6. Step 6: Final answer
    x = 717.41

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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.