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Finding the Fourth Proportional to 1,608.96, 2,412.76 and 498.24

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Solution

The fourth proportional to 1,608.96, 2,412.76 and 498.24 is: 747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.96 : 2,412.76 = 498.24 : x
  2. Step 2: Convert to fraction form
    1,608.96/2,412.76 = 498.24/x
  3. Step 3: Cross multiply
    1,608.96x = 2,412.76 × 498.24
  4. Step 4: Simplify right side
    1,608.96x = 1,202,133.54
  5. Step 5: Solve for x
    x = 1,202,133.54/1,608.96
  6. Step 6: Final answer
    x = 747.15

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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.