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Finding the Fourth Proportional to 1,199.32, 1,653.36 and 934.12

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Solution

The fourth proportional to 1,199.32, 1,653.36 and 934.12 is: 1,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.32 : 1,653.36 = 934.12 : x
  2. Step 2: Convert to fraction form
    1,199.32/1,653.36 = 934.12/x
  3. Step 3: Cross multiply
    1,199.32x = 1,653.36 × 934.12
  4. Step 4: Simplify right side
    1,199.32x = 1,544,436.64
  5. Step 5: Solve for x
    x = 1,544,436.64/1,199.32
  6. Step 6: Final answer
    x = 1,287.76

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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.