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Finding the Fourth Proportional to 1,091.30, 1,505.79 and 649.31

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Solution

The fourth proportional to 1,091.30, 1,505.79 and 649.31 is: 895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.30 : 1,505.79 = 649.31 : x
  2. Step 2: Convert to fraction form
    1,091.30/1,505.79 = 649.31/x
  3. Step 3: Cross multiply
    1,091.30x = 1,505.79 × 649.31
  4. Step 4: Simplify right side
    1,091.30x = 977,724.50
  5. Step 5: Solve for x
    x = 977,724.50/1,091.30
  6. Step 6: Final answer
    x = 895.93

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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.