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Finding the Fourth Proportional to 1,213.47, 1,821.50 and 520.48

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Solution

The fourth proportional to 1,213.47, 1,821.50 and 520.48 is: 781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.47 : 1,821.50 = 520.48 : x
  2. Step 2: Convert to fraction form
    1,213.47/1,821.50 = 520.48/x
  3. Step 3: Cross multiply
    1,213.47x = 1,821.50 × 520.48
  4. Step 4: Simplify right side
    1,213.47x = 948,054.32
  5. Step 5: Solve for x
    x = 948,054.32/1,213.47
  6. Step 6: Final answer
    x = 781.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.