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Finding the Fourth Proportional to 835.50, 1,252.26 and 470.46

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Solution

The fourth proportional to 835.50, 1,252.26 and 470.46 is: 705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.50 : 1,252.26 = 470.46 : x
  2. Step 2: Convert to fraction form
    835.50/1,252.26 = 470.46/x
  3. Step 3: Cross multiply
    835.50x = 1,252.26 × 470.46
  4. Step 4: Simplify right side
    835.50x = 589,138.24
  5. Step 5: Solve for x
    x = 589,138.24/835.50
  6. Step 6: Final answer
    x = 705.13

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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.