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Finding the Fourth Proportional to 1,188.22, 1,640.10 and 723.28

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Solution

The fourth proportional to 1,188.22, 1,640.10 and 723.28 is: 998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.22 : 1,640.10 = 723.28 : x
  2. Step 2: Convert to fraction form
    1,188.22/1,640.10 = 723.28/x
  3. Step 3: Cross multiply
    1,188.22x = 1,640.10 × 723.28
  4. Step 4: Simplify right side
    1,188.22x = 1,186,251.53
  5. Step 5: Solve for x
    x = 1,186,251.53/1,188.22
  6. Step 6: Final answer
    x = 998.34

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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.