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Finding the Fourth Proportional to 1,133.86, 1,563.84 and 760.72

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Solution

The fourth proportional to 1,133.86, 1,563.84 and 760.72 is: 1,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.86 : 1,563.84 = 760.72 : x
  2. Step 2: Convert to fraction form
    1,133.86/1,563.84 = 760.72/x
  3. Step 3: Cross multiply
    1,133.86x = 1,563.84 × 760.72
  4. Step 4: Simplify right side
    1,133.86x = 1,189,644.36
  5. Step 5: Solve for x
    x = 1,189,644.36/1,133.86
  6. Step 6: Final answer
    x = 1,049.20

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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.