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Finding the Fourth Proportional to 903.56, 1,246.41 and 588.42

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Solution

The fourth proportional to 903.56, 1,246.41 and 588.42 is: 811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.56 : 1,246.41 = 588.42 : x
  2. Step 2: Convert to fraction form
    903.56/1,246.41 = 588.42/x
  3. Step 3: Cross multiply
    903.56x = 1,246.41 × 588.42
  4. Step 4: Simplify right side
    903.56x = 733,412.57
  5. Step 5: Solve for x
    x = 733,412.57/903.56
  6. Step 6: Final answer
    x = 811.70

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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.