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Finding the Fourth Proportional to 1,213.68, 1,820.14 and 520.17

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Solution

The fourth proportional to 1,213.68, 1,820.14 and 520.17 is: 780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.68 : 1,820.14 = 520.17 : x
  2. Step 2: Convert to fraction form
    1,213.68/1,820.14 = 520.17/x
  3. Step 3: Cross multiply
    1,213.68x = 1,820.14 × 520.17
  4. Step 4: Simplify right side
    1,213.68x = 946,774.10
  5. Step 5: Solve for x
    x = 946,774.10/1,213.68
  6. Step 6: Final answer
    x = 780.08

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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.