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Finding the Fourth Proportional to 1,330.49, 1,834.52 and 911.05

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Solution

The fourth proportional to 1,330.49, 1,834.52 and 911.05 is: 1,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.49 : 1,834.52 = 911.05 : x
  2. Step 2: Convert to fraction form
    1,330.49/1,834.52 = 911.05/x
  3. Step 3: Cross multiply
    1,330.49x = 1,834.52 × 911.05
  4. Step 4: Simplify right side
    1,330.49x = 1,671,330.30
  5. Step 5: Solve for x
    x = 1,671,330.30/1,330.49
  6. Step 6: Final answer
    x = 1,256.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.