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Finding the Fourth Proportional to 1,107.04, 1,527.36 and 641.20

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Solution

The fourth proportional to 1,107.04, 1,527.36 and 641.20 is: 884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.04 : 1,527.36 = 641.20 : x
  2. Step 2: Convert to fraction form
    1,107.04/1,527.36 = 641.20/x
  3. Step 3: Cross multiply
    1,107.04x = 1,527.36 × 641.20
  4. Step 4: Simplify right side
    1,107.04x = 979,343.23
  5. Step 5: Solve for x
    x = 979,343.23/1,107.04
  6. Step 6: Final answer
    x = 884.65

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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.