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Finding the Fourth Proportional to 1,348.18, 2,022.76 and 470.81

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Solution

The fourth proportional to 1,348.18, 2,022.76 and 470.81 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.18 : 2,022.76 = 470.81 : x
  2. Step 2: Convert to fraction form
    1,348.18/2,022.76 = 470.81/x
  3. Step 3: Cross multiply
    1,348.18x = 2,022.76 × 470.81
  4. Step 4: Simplify right side
    1,348.18x = 952,336.45
  5. Step 5: Solve for x
    x = 952,336.45/1,348.18
  6. Step 6: Final answer
    x = 706.39

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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.