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Finding the Fourth Proportional to 835.41, 1,251.90 and 509.79

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Solution

The fourth proportional to 835.41, 1,251.90 and 509.79 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.41 : 1,251.90 = 509.79 : x
  2. Step 2: Convert to fraction form
    835.41/1,251.90 = 509.79/x
  3. Step 3: Cross multiply
    835.41x = 1,251.90 × 509.79
  4. Step 4: Simplify right side
    835.41x = 638,206.10
  5. Step 5: Solve for x
    x = 638,206.10/835.41
  6. Step 6: Final answer
    x = 763.94

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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.