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Finding the Fourth Proportional to 1,505.31, 2,077.29 and 842.19

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Solution

The fourth proportional to 1,505.31, 2,077.29 and 842.19 is: 1,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.31 : 2,077.29 = 842.19 : x
  2. Step 2: Convert to fraction form
    1,505.31/2,077.29 = 842.19/x
  3. Step 3: Cross multiply
    1,505.31x = 2,077.29 × 842.19
  4. Step 4: Simplify right side
    1,505.31x = 1,749,472.87
  5. Step 5: Solve for x
    x = 1,749,472.87/1,505.31
  6. Step 6: Final answer
    x = 1,162.20

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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.