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Finding the Fourth Proportional to 1,470.44, 2,205.82 and 430.46

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Solution

The fourth proportional to 1,470.44, 2,205.82 and 430.46 is: 645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.44 : 2,205.82 = 430.46 : x
  2. Step 2: Convert to fraction form
    1,470.44/2,205.82 = 430.46/x
  3. Step 3: Cross multiply
    1,470.44x = 2,205.82 × 430.46
  4. Step 4: Simplify right side
    1,470.44x = 949,517.28
  5. Step 5: Solve for x
    x = 949,517.28/1,470.44
  6. Step 6: Final answer
    x = 645.74

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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.