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Finding the Fourth Proportional to 1,131.93, 1,562.78 and 712.86

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Solution

The fourth proportional to 1,131.93, 1,562.78 and 712.86 is: 984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.93 : 1,562.78 = 712.86 : x
  2. Step 2: Convert to fraction form
    1,131.93/1,562.78 = 712.86/x
  3. Step 3: Cross multiply
    1,131.93x = 1,562.78 × 712.86
  4. Step 4: Simplify right side
    1,131.93x = 1,114,043.35
  5. Step 5: Solve for x
    x = 1,114,043.35/1,131.93
  6. Step 6: Final answer
    x = 984.20

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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.