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Finding the Fourth Proportional to 1,370.88, 2,056.91 and 908.82

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Solution

The fourth proportional to 1,370.88, 2,056.91 and 908.82 is: 1,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.88 : 2,056.91 = 908.82 : x
  2. Step 2: Convert to fraction form
    1,370.88/2,056.91 = 908.82/x
  3. Step 3: Cross multiply
    1,370.88x = 2,056.91 × 908.82
  4. Step 4: Simplify right side
    1,370.88x = 1,869,356.40
  5. Step 5: Solve for x
    x = 1,869,356.40/1,370.88
  6. Step 6: Final answer
    x = 1,363.62

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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.