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Finding the Fourth Proportional to 909.68, 1,364.69 and 520.12

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Solution

The fourth proportional to 909.68, 1,364.69 and 520.12 is: 780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.68 : 1,364.69 = 520.12 : x
  2. Step 2: Convert to fraction form
    909.68/1,364.69 = 520.12/x
  3. Step 3: Cross multiply
    909.68x = 1,364.69 × 520.12
  4. Step 4: Simplify right side
    909.68x = 709,799.96
  5. Step 5: Solve for x
    x = 709,799.96/909.68
  6. Step 6: Final answer
    x = 780.27

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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.