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Finding the Fourth Proportional to 1,322.32, 1,984.48 and 904.85

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Solution

The fourth proportional to 1,322.32, 1,984.48 and 904.85 is: 1,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.32 : 1,984.48 = 904.85 : x
  2. Step 2: Convert to fraction form
    1,322.32/1,984.48 = 904.85/x
  3. Step 3: Cross multiply
    1,322.32x = 1,984.48 × 904.85
  4. Step 4: Simplify right side
    1,322.32x = 1,795,659.43
  5. Step 5: Solve for x
    x = 1,795,659.43/1,322.32
  6. Step 6: Final answer
    x = 1,357.96

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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.