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Finding the Fourth Proportional to 1,213.58, 1,820.54 and 520.26

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Solution

The fourth proportional to 1,213.58, 1,820.54 and 520.26 is: 780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.58 : 1,820.54 = 520.26 : x
  2. Step 2: Convert to fraction form
    1,213.58/1,820.54 = 520.26/x
  3. Step 3: Cross multiply
    1,213.58x = 1,820.54 × 520.26
  4. Step 4: Simplify right side
    1,213.58x = 947,154.14
  5. Step 5: Solve for x
    x = 947,154.14/1,213.58
  6. Step 6: Final answer
    x = 780.46

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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.