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Finding the Fourth Proportional to 745.83, 1,028.97 and 483.75

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Solution

The fourth proportional to 745.83, 1,028.97 and 483.75 is: 667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.83 : 1,028.97 = 483.75 : x
  2. Step 2: Convert to fraction form
    745.83/1,028.97 = 483.75/x
  3. Step 3: Cross multiply
    745.83x = 1,028.97 × 483.75
  4. Step 4: Simplify right side
    745.83x = 497,764.24
  5. Step 5: Solve for x
    x = 497,764.24/745.83
  6. Step 6: Final answer
    x = 667.40

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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.