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Finding the Fourth Proportional to 937.32, 1,405.40 and 822.00

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Solution

The fourth proportional to 937.32, 1,405.40 and 822.00 is: 1,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.32 : 1,405.40 = 822.00 : x
  2. Step 2: Convert to fraction form
    937.32/1,405.40 = 822.00/x
  3. Step 3: Cross multiply
    937.32x = 1,405.40 × 822.00
  4. Step 4: Simplify right side
    937.32x = 1,155,236.68
  5. Step 5: Solve for x
    x = 1,155,236.68/937.32
  6. Step 6: Final answer
    x = 1,232.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.