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Finding the Fourth Proportional to 835.81, 1,254.03 and 348.82

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Solution

The fourth proportional to 835.81, 1,254.03 and 348.82 is: 523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.81 : 1,254.03 = 348.82 : x
  2. Step 2: Convert to fraction form
    835.81/1,254.03 = 348.82/x
  3. Step 3: Cross multiply
    835.81x = 1,254.03 × 348.82
  4. Step 4: Simplify right side
    835.81x = 437,430.74
  5. Step 5: Solve for x
    x = 437,430.74/835.81
  6. Step 6: Final answer
    x = 523.36

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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.