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Finding the Fourth Proportional to 1,214.42, 1,821.63 and 520.64

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Solution

The fourth proportional to 1,214.42, 1,821.63 and 520.64 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.42 : 1,821.63 = 520.64 : x
  2. Step 2: Convert to fraction form
    1,214.42/1,821.63 = 520.64/x
  3. Step 3: Cross multiply
    1,214.42x = 1,821.63 × 520.64
  4. Step 4: Simplify right side
    1,214.42x = 948,407.59
  5. Step 5: Solve for x
    x = 948,407.59/1,214.42
  6. Step 6: Final answer
    x = 780.96

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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.