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Finding the Fourth Proportional to 745.52, 1,028.28 and 524.72

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Solution

The fourth proportional to 745.52, 1,028.28 and 524.72 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.52 : 1,028.28 = 524.72 : x
  2. Step 2: Convert to fraction form
    745.52/1,028.28 = 524.72/x
  3. Step 3: Cross multiply
    745.52x = 1,028.28 × 524.72
  4. Step 4: Simplify right side
    745.52x = 539,559.08
  5. Step 5: Solve for x
    x = 539,559.08/745.52
  6. Step 6: Final answer
    x = 723.74

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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.