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Finding the Fourth Proportional to 1,348.30, 2,022.59 and 470.87

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Solution

The fourth proportional to 1,348.30, 2,022.59 and 470.87 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.30 : 2,022.59 = 470.87 : x
  2. Step 2: Convert to fraction form
    1,348.30/2,022.59 = 470.87/x
  3. Step 3: Cross multiply
    1,348.30x = 2,022.59 × 470.87
  4. Step 4: Simplify right side
    1,348.30x = 952,376.95
  5. Step 5: Solve for x
    x = 952,376.95/1,348.30
  6. Step 6: Final answer
    x = 706.35

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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.