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Finding the Fourth Proportional to 1,091.25, 1,505.91 and 649.14

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Solution

The fourth proportional to 1,091.25, 1,505.91 and 649.14 is: 895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.25 : 1,505.91 = 649.14 : x
  2. Step 2: Convert to fraction form
    1,091.25/1,505.91 = 649.14/x
  3. Step 3: Cross multiply
    1,091.25x = 1,505.91 × 649.14
  4. Step 4: Simplify right side
    1,091.25x = 977,546.42
  5. Step 5: Solve for x
    x = 977,546.42/1,091.25
  6. Step 6: Final answer
    x = 895.80

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Why These Related Problems?

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