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Finding the Fourth Proportional to 835.20, 1,253.70 and 470.34

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Solution

The fourth proportional to 835.20, 1,253.70 and 470.34 is: 706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,253.70 = 470.34 : x
  2. Step 2: Convert to fraction form
    835.20/1,253.70 = 470.34/x
  3. Step 3: Cross multiply
    835.20x = 1,253.70 × 470.34
  4. Step 4: Simplify right side
    835.20x = 589,665.26
  5. Step 5: Solve for x
    x = 589,665.26/835.20
  6. Step 6: Final answer
    x = 706.02

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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.