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Finding the Fourth Proportional to 1,246.86, 1,720.85 and 743.00

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Solution

The fourth proportional to 1,246.86, 1,720.85 and 743.00 is: 1,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.86 : 1,720.85 = 743.00 : x
  2. Step 2: Convert to fraction form
    1,246.86/1,720.85 = 743.00/x
  3. Step 3: Cross multiply
    1,246.86x = 1,720.85 × 743.00
  4. Step 4: Simplify right side
    1,246.86x = 1,278,579.23
  5. Step 5: Solve for x
    x = 1,278,579.23/1,246.86
  6. Step 6: Final answer
    x = 1,025.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.