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Finding the Fourth Proportional to 1,594.45, 2,391.81 and 498.79

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Solution

The fourth proportional to 1,594.45, 2,391.81 and 498.79 is: 748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.45 : 2,391.81 = 498.79 : x
  2. Step 2: Convert to fraction form
    1,594.45/2,391.81 = 498.79/x
  3. Step 3: Cross multiply
    1,594.45x = 2,391.81 × 498.79
  4. Step 4: Simplify right side
    1,594.45x = 1,193,010.91
  5. Step 5: Solve for x
    x = 1,193,010.91/1,594.45
  6. Step 6: Final answer
    x = 748.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.