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Finding the Fourth Proportional to 1,648.80, 2,471.54 and 608.13

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Solution

The fourth proportional to 1,648.80, 2,471.54 and 608.13 is: 911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.80 : 2,471.54 = 608.13 : x
  2. Step 2: Convert to fraction form
    1,648.80/2,471.54 = 608.13/x
  3. Step 3: Cross multiply
    1,648.80x = 2,471.54 × 608.13
  4. Step 4: Simplify right side
    1,648.80x = 1,503,014.58
  5. Step 5: Solve for x
    x = 1,503,014.58/1,648.80
  6. Step 6: Final answer
    x = 911.58

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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.