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Finding the Fourth Proportional to 909.81, 1,364.07 and 422.58

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Solution

The fourth proportional to 909.81, 1,364.07 and 422.58 is: 633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.81 : 1,364.07 = 422.58 : x
  2. Step 2: Convert to fraction form
    909.81/1,364.07 = 422.58/x
  3. Step 3: Cross multiply
    909.81x = 1,364.07 × 422.58
  4. Step 4: Simplify right side
    909.81x = 576,428.70
  5. Step 5: Solve for x
    x = 576,428.70/909.81
  6. Step 6: Final answer
    x = 633.57

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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.