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Finding the Fourth Proportional to 1,107.09, 1,527.87 and 641.34

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Solution

The fourth proportional to 1,107.09, 1,527.87 and 641.34 is: 885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.09 : 1,527.87 = 641.34 : x
  2. Step 2: Convert to fraction form
    1,107.09/1,527.87 = 641.34/x
  3. Step 3: Cross multiply
    1,107.09x = 1,527.87 × 641.34
  4. Step 4: Simplify right side
    1,107.09x = 979,884.15
  5. Step 5: Solve for x
    x = 979,884.15/1,107.09
  6. Step 6: Final answer
    x = 885.10

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1.5x scale

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.