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Finding the Fourth Proportional to 1,091.24, 1,505.88 and 619.12

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Solution

The fourth proportional to 1,091.24, 1,505.88 and 619.12 is: 854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.24 : 1,505.88 = 619.12 : x
  2. Step 2: Convert to fraction form
    1,091.24/1,505.88 = 619.12/x
  3. Step 3: Cross multiply
    1,091.24x = 1,505.88 × 619.12
  4. Step 4: Simplify right side
    1,091.24x = 932,322.31
  5. Step 5: Solve for x
    x = 932,322.31/1,091.24
  6. Step 6: Final answer
    x = 854.37

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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.