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Finding the Fourth Proportional to 1,201.06, 1,801.82 and 470.59

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Solution

The fourth proportional to 1,201.06, 1,801.82 and 470.59 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.06 : 1,801.82 = 470.59 : x
  2. Step 2: Convert to fraction form
    1,201.06/1,801.82 = 470.59/x
  3. Step 3: Cross multiply
    1,201.06x = 1,801.82 × 470.59
  4. Step 4: Simplify right side
    1,201.06x = 847,918.47
  5. Step 5: Solve for x
    x = 847,918.47/1,201.06
  6. Step 6: Final answer
    x = 705.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.