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Finding the Fourth Proportional to 810.86, 1,216.34 and 348.54

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Solution

The fourth proportional to 810.86, 1,216.34 and 348.54 is: 522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.86 : 1,216.34 = 348.54 : x
  2. Step 2: Convert to fraction form
    810.86/1,216.34 = 348.54/x
  3. Step 3: Cross multiply
    810.86x = 1,216.34 × 348.54
  4. Step 4: Simplify right side
    810.86x = 423,943.14
  5. Step 5: Solve for x
    x = 423,943.14/810.86
  6. Step 6: Final answer
    x = 522.83

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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.