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Finding the Fourth Proportional to 1,505.30, 2,077.42 and 842.21

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Solution

The fourth proportional to 1,505.30, 2,077.42 and 842.21 is: 1,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.30 : 2,077.42 = 842.21 : x
  2. Step 2: Convert to fraction form
    1,505.30/2,077.42 = 842.21/x
  3. Step 3: Cross multiply
    1,505.30x = 2,077.42 × 842.21
  4. Step 4: Simplify right side
    1,505.30x = 1,749,626.99
  5. Step 5: Solve for x
    x = 1,749,626.99/1,505.30
  6. Step 6: Final answer
    x = 1,162.31

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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.