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Finding the Fourth Proportional to 745.35, 1,116.54 and 582.27

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Solution

The fourth proportional to 745.35, 1,116.54 and 582.27 is: 872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.35 : 1,116.54 = 582.27 : x
  2. Step 2: Convert to fraction form
    745.35/1,116.54 = 582.27/x
  3. Step 3: Cross multiply
    745.35x = 1,116.54 × 582.27
  4. Step 4: Simplify right side
    745.35x = 650,127.75
  5. Step 5: Solve for x
    x = 650,127.75/745.35
  6. Step 6: Final answer
    x = 872.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.