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Finding the Fourth Proportional to 745.36, 1,029.69 and 589.03

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Solution

The fourth proportional to 745.36, 1,029.69 and 589.03 is: 813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.36 : 1,029.69 = 589.03 : x
  2. Step 2: Convert to fraction form
    745.36/1,029.69 = 589.03/x
  3. Step 3: Cross multiply
    745.36x = 1,029.69 × 589.03
  4. Step 4: Simplify right side
    745.36x = 606,515.73
  5. Step 5: Solve for x
    x = 606,515.73/745.36
  6. Step 6: Final answer
    x = 813.72

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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.