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Finding the Fourth Proportional to 1,191.19, 1,644.03 and 712.61

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Solution

The fourth proportional to 1,191.19, 1,644.03 and 712.61 is: 983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.19 : 1,644.03 = 712.61 : x
  2. Step 2: Convert to fraction form
    1,191.19/1,644.03 = 712.61/x
  3. Step 3: Cross multiply
    1,191.19x = 1,644.03 × 712.61
  4. Step 4: Simplify right side
    1,191.19x = 1,171,552.22
  5. Step 5: Solve for x
    x = 1,171,552.22/1,191.19
  6. Step 6: Final answer
    x = 983.51

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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.