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Finding the Fourth Proportional to 1,399.53, 1,932.65 and 903.03

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Solution

The fourth proportional to 1,399.53, 1,932.65 and 903.03 is: 1,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.53 : 1,932.65 = 903.03 : x
  2. Step 2: Convert to fraction form
    1,399.53/1,932.65 = 903.03/x
  3. Step 3: Cross multiply
    1,399.53x = 1,932.65 × 903.03
  4. Step 4: Simplify right side
    1,399.53x = 1,745,240.93
  5. Step 5: Solve for x
    x = 1,745,240.93/1,399.53
  6. Step 6: Final answer
    x = 1,247.02

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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.