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Finding the Fourth Proportional to 862.53, 1,293.80 and 497.09

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Solution

The fourth proportional to 862.53, 1,293.80 and 497.09 is: 745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.53 : 1,293.80 = 497.09 : x
  2. Step 2: Convert to fraction form
    862.53/1,293.80 = 497.09/x
  3. Step 3: Cross multiply
    862.53x = 1,293.80 × 497.09
  4. Step 4: Simplify right side
    862.53x = 643,126.09
  5. Step 5: Solve for x
    x = 643,126.09/862.53
  6. Step 6: Final answer
    x = 745.63

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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.