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Finding the Fourth Proportional to 1,107.30, 1,527.28 and 713.94

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Solution

The fourth proportional to 1,107.30, 1,527.28 and 713.94 is: 984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.30 : 1,527.28 = 713.94 : x
  2. Step 2: Convert to fraction form
    1,107.30/1,527.28 = 713.94/x
  3. Step 3: Cross multiply
    1,107.30x = 1,527.28 × 713.94
  4. Step 4: Simplify right side
    1,107.30x = 1,090,382.71
  5. Step 5: Solve for x
    x = 1,090,382.71/1,107.30
  6. Step 6: Final answer
    x = 984.73

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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.