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Finding the Fourth Proportional to 810.02, 1,214.24 and 261.83

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Solution

The fourth proportional to 810.02, 1,214.24 and 261.83 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.02 : 1,214.24 = 261.83 : x
  2. Step 2: Convert to fraction form
    810.02/1,214.24 = 261.83/x
  3. Step 3: Cross multiply
    810.02x = 1,214.24 × 261.83
  4. Step 4: Simplify right side
    810.02x = 317,918.39
  5. Step 5: Solve for x
    x = 317,918.39/810.02
  6. Step 6: Final answer
    x = 392.48

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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.