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Finding the Fourth Proportional to 1,011.24, 1,395.37 and 563.08

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Solution

The fourth proportional to 1,011.24, 1,395.37 and 563.08 is: 776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.24 : 1,395.37 = 563.08 : x
  2. Step 2: Convert to fraction form
    1,011.24/1,395.37 = 563.08/x
  3. Step 3: Cross multiply
    1,011.24x = 1,395.37 × 563.08
  4. Step 4: Simplify right side
    1,011.24x = 785,704.94
  5. Step 5: Solve for x
    x = 785,704.94/1,011.24
  6. Step 6: Final answer
    x = 776.97

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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.