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Finding the Fourth Proportional to 1,201.62, 1,800.81 and 470.79

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Solution

The fourth proportional to 1,201.62, 1,800.81 and 470.79 is: 705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.62 : 1,800.81 = 470.79 : x
  2. Step 2: Convert to fraction form
    1,201.62/1,800.81 = 470.79/x
  3. Step 3: Cross multiply
    1,201.62x = 1,800.81 × 470.79
  4. Step 4: Simplify right side
    1,201.62x = 847,803.34
  5. Step 5: Solve for x
    x = 847,803.34/1,201.62
  6. Step 6: Final answer
    x = 705.55

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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.