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Finding the Fourth Proportional to 745.55, 1,028.70 and 450.75

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Solution

The fourth proportional to 745.55, 1,028.70 and 450.75 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.55 : 1,028.70 = 450.75 : x
  2. Step 2: Convert to fraction form
    745.55/1,028.70 = 450.75/x
  3. Step 3: Cross multiply
    745.55x = 1,028.70 × 450.75
  4. Step 4: Simplify right side
    745.55x = 463,686.53
  5. Step 5: Solve for x
    x = 463,686.53/745.55
  6. Step 6: Final answer
    x = 621.94

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