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Finding the Fourth Proportional to 911.04, 1,361.01 and 596.15

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Solution

The fourth proportional to 911.04, 1,361.01 and 596.15 is: 890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.04 : 1,361.01 = 596.15 : x
  2. Step 2: Convert to fraction form
    911.04/1,361.01 = 596.15/x
  3. Step 3: Cross multiply
    911.04x = 1,361.01 × 596.15
  4. Step 4: Simplify right side
    911.04x = 811,366.11
  5. Step 5: Solve for x
    x = 811,366.11/911.04
  6. Step 6: Final answer
    x = 890.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.