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Finding the Fourth Proportional to 1,182.80, 1,632.36 and 903.44

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Solution

The fourth proportional to 1,182.80, 1,632.36 and 903.44 is: 1,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.80 : 1,632.36 = 903.44 : x
  2. Step 2: Convert to fraction form
    1,182.80/1,632.36 = 903.44/x
  3. Step 3: Cross multiply
    1,182.80x = 1,632.36 × 903.44
  4. Step 4: Simplify right side
    1,182.80x = 1,474,739.32
  5. Step 5: Solve for x
    x = 1,474,739.32/1,182.80
  6. Step 6: Final answer
    x = 1,246.82

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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.