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Finding the Fourth Proportional to 835.20, 1,252.85 and 470.29

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Solution

The fourth proportional to 835.20, 1,252.85 and 470.29 is: 705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,252.85 = 470.29 : x
  2. Step 2: Convert to fraction form
    835.20/1,252.85 = 470.29/x
  3. Step 3: Cross multiply
    835.20x = 1,252.85 × 470.29
  4. Step 4: Simplify right side
    835.20x = 589,202.83
  5. Step 5: Solve for x
    x = 589,202.83/835.20
  6. Step 6: Final answer
    x = 705.46

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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.