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Finding the Fourth Proportional to 745.61, 1,028.36 and 496.49

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Solution

The fourth proportional to 745.61, 1,028.36 and 496.49 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.61 : 1,028.36 = 496.49 : x
  2. Step 2: Convert to fraction form
    745.61/1,028.36 = 496.49/x
  3. Step 3: Cross multiply
    745.61x = 1,028.36 × 496.49
  4. Step 4: Simplify right side
    745.61x = 510,570.54
  5. Step 5: Solve for x
    x = 510,570.54/745.61
  6. Step 6: Final answer
    x = 684.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.