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Finding the Fourth Proportional to 1,594.26, 2,391.35 and 498.60

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Solution

The fourth proportional to 1,594.26, 2,391.35 and 498.60 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.26 : 2,391.35 = 498.60 : x
  2. Step 2: Convert to fraction form
    1,594.26/2,391.35 = 498.60/x
  3. Step 3: Cross multiply
    1,594.26x = 2,391.35 × 498.60
  4. Step 4: Simplify right side
    1,594.26x = 1,192,324.62
  5. Step 5: Solve for x
    x = 1,192,324.62/1,594.26
  6. Step 6: Final answer
    x = 747.89

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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.