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Finding the Fourth Proportional to 1,477.26, 2,214.73 and 745.83

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Solution

The fourth proportional to 1,477.26, 2,214.73 and 745.83 is: 1,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.26 : 2,214.73 = 745.83 : x
  2. Step 2: Convert to fraction form
    1,477.26/2,214.73 = 745.83/x
  3. Step 3: Cross multiply
    1,477.26x = 2,214.73 × 745.83
  4. Step 4: Simplify right side
    1,477.26x = 1,651,812.08
  5. Step 5: Solve for x
    x = 1,651,812.08/1,477.26
  6. Step 6: Final answer
    x = 1,118.16

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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.