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Finding the Fourth Proportional to 825.26, 1,235.45 and 499.64

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Solution

The fourth proportional to 825.26, 1,235.45 and 499.64 is: 747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.26 : 1,235.45 = 499.64 : x
  2. Step 2: Convert to fraction form
    825.26/1,235.45 = 499.64/x
  3. Step 3: Cross multiply
    825.26x = 1,235.45 × 499.64
  4. Step 4: Simplify right side
    825.26x = 617,275.31
  5. Step 5: Solve for x
    x = 617,275.31/825.26
  6. Step 6: Final answer
    x = 747.98

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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.