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Finding the Fourth Proportional to 745.63, 1,028.81 and 430.89

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Solution

The fourth proportional to 745.63, 1,028.81 and 430.89 is: 594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.63 : 1,028.81 = 430.89 : x
  2. Step 2: Convert to fraction form
    745.63/1,028.81 = 430.89/x
  3. Step 3: Cross multiply
    745.63x = 1,028.81 × 430.89
  4. Step 4: Simplify right side
    745.63x = 443,305.02
  5. Step 5: Solve for x
    x = 443,305.02/745.63
  6. Step 6: Final answer
    x = 594.54

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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.