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Finding the Fourth Proportional to 1,527.78, 2,107.85 and 960.07

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Solution

The fourth proportional to 1,527.78, 2,107.85 and 960.07 is: 1,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.78 : 2,107.85 = 960.07 : x
  2. Step 2: Convert to fraction form
    1,527.78/2,107.85 = 960.07/x
  3. Step 3: Cross multiply
    1,527.78x = 2,107.85 × 960.07
  4. Step 4: Simplify right side
    1,527.78x = 2,023,673.48
  5. Step 5: Solve for x
    x = 2,023,673.48/1,527.78
  6. Step 6: Final answer
    x = 1,324.58

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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.