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Finding the Fourth Proportional to 834.96, 1,253.46 and 470.04

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Solution

The fourth proportional to 834.96, 1,253.46 and 470.04 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,253.46 = 470.04 : x
  2. Step 2: Convert to fraction form
    834.96/1,253.46 = 470.04/x
  3. Step 3: Cross multiply
    834.96x = 1,253.46 × 470.04
  4. Step 4: Simplify right side
    834.96x = 589,176.34
  5. Step 5: Solve for x
    x = 589,176.34/834.96
  6. Step 6: Final answer
    x = 705.63

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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.