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Finding the Fourth Proportional to 1,191.54, 1,644.36 and 832.70

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Solution

The fourth proportional to 1,191.54, 1,644.36 and 832.70 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.54 : 1,644.36 = 832.70 : x
  2. Step 2: Convert to fraction form
    1,191.54/1,644.36 = 832.70/x
  3. Step 3: Cross multiply
    1,191.54x = 1,644.36 × 832.70
  4. Step 4: Simplify right side
    1,191.54x = 1,369,258.57
  5. Step 5: Solve for x
    x = 1,369,258.57/1,191.54
  6. Step 6: Final answer
    x = 1,149.15

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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.