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Finding the Fourth Proportional to 1,470.03, 2,028.66 and 806.94

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Solution

The fourth proportional to 1,470.03, 2,028.66 and 806.94 is: 1,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.03 : 2,028.66 = 806.94 : x
  2. Step 2: Convert to fraction form
    1,470.03/2,028.66 = 806.94/x
  3. Step 3: Cross multiply
    1,470.03x = 2,028.66 × 806.94
  4. Step 4: Simplify right side
    1,470.03x = 1,636,999.81
  5. Step 5: Solve for x
    x = 1,636,999.81/1,470.03
  6. Step 6: Final answer
    x = 1,113.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.