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Finding the Fourth Proportional to 1,004.49, 1,505.88 and 914.22

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Solution

The fourth proportional to 1,004.49, 1,505.88 and 914.22 is: 1,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.49 : 1,505.88 = 914.22 : x
  2. Step 2: Convert to fraction form
    1,004.49/1,505.88 = 914.22/x
  3. Step 3: Cross multiply
    1,004.49x = 1,505.88 × 914.22
  4. Step 4: Simplify right side
    1,004.49x = 1,376,705.61
  5. Step 5: Solve for x
    x = 1,376,705.61/1,004.49
  6. Step 6: Final answer
    x = 1,370.55

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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.