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Finding the Fourth Proportional to 1,073.47, 1,610.75 and 496.75

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Solution

The fourth proportional to 1,073.47, 1,610.75 and 496.75 is: 745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.47 : 1,610.75 = 496.75 : x
  2. Step 2: Convert to fraction form
    1,073.47/1,610.75 = 496.75/x
  3. Step 3: Cross multiply
    1,073.47x = 1,610.75 × 496.75
  4. Step 4: Simplify right side
    1,073.47x = 800,140.06
  5. Step 5: Solve for x
    x = 800,140.06/1,073.47
  6. Step 6: Final answer
    x = 745.38

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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.