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Finding the Fourth Proportional to 1,200.82, 1,801.70 and 470.27

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Solution

The fourth proportional to 1,200.82, 1,801.70 and 470.27 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.82 : 1,801.70 = 470.27 : x
  2. Step 2: Convert to fraction form
    1,200.82/1,801.70 = 470.27/x
  3. Step 3: Cross multiply
    1,200.82x = 1,801.70 × 470.27
  4. Step 4: Simplify right side
    1,200.82x = 847,285.46
  5. Step 5: Solve for x
    x = 847,285.46/1,200.82
  6. Step 6: Final answer
    x = 705.59

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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.