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Finding the Fourth Proportional to 1,470.29, 2,205.44 and 374.66

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Solution

The fourth proportional to 1,470.29, 2,205.44 and 374.66 is: 561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.29 : 2,205.44 = 374.66 : x
  2. Step 2: Convert to fraction form
    1,470.29/2,205.44 = 374.66/x
  3. Step 3: Cross multiply
    1,470.29x = 2,205.44 × 374.66
  4. Step 4: Simplify right side
    1,470.29x = 826,289.03
  5. Step 5: Solve for x
    x = 826,289.03/1,470.29
  6. Step 6: Final answer
    x = 561.99

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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.