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Finding the Fourth Proportional to 1,194.83, 1,792.24 and 501.31

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Solution

The fourth proportional to 1,194.83, 1,792.24 and 501.31 is: 751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.83 : 1,792.24 = 501.31 : x
  2. Step 2: Convert to fraction form
    1,194.83/1,792.24 = 501.31/x
  3. Step 3: Cross multiply
    1,194.83x = 1,792.24 × 501.31
  4. Step 4: Simplify right side
    1,194.83x = 898,462.10
  5. Step 5: Solve for x
    x = 898,462.10/1,194.83
  6. Step 6: Final answer
    x = 751.96

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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.