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Finding the Fourth Proportional to 1,124.00, 1,684.86 and 712.34

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Solution

The fourth proportional to 1,124.00, 1,684.86 and 712.34 is: 1,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.00 : 1,684.86 = 712.34 : x
  2. Step 2: Convert to fraction form
    1,124.00/1,684.86 = 712.34/x
  3. Step 3: Cross multiply
    1,124.00x = 1,684.86 × 712.34
  4. Step 4: Simplify right side
    1,124.00x = 1,200,184.75
  5. Step 5: Solve for x
    x = 1,200,184.75/1,124.00
  6. Step 6: Final answer
    x = 1,067.78

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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.