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Finding the Fourth Proportional to 790.13, 1,183.64 and 745.17

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Solution

The fourth proportional to 790.13, 1,183.64 and 745.17 is: 1,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.13 : 1,183.64 = 745.17 : x
  2. Step 2: Convert to fraction form
    790.13/1,183.64 = 745.17/x
  3. Step 3: Cross multiply
    790.13x = 1,183.64 × 745.17
  4. Step 4: Simplify right side
    790.13x = 882,009.29
  5. Step 5: Solve for x
    x = 882,009.29/790.13
  6. Step 6: Final answer
    x = 1,116.29

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Why These Related Problems?

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