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Finding the Fourth Proportional to 1,505.86, 2,077.99 and 842.70

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Solution

The fourth proportional to 1,505.86, 2,077.99 and 842.70 is: 1,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.86 : 2,077.99 = 842.70 : x
  2. Step 2: Convert to fraction form
    1,505.86/2,077.99 = 842.70/x
  3. Step 3: Cross multiply
    1,505.86x = 2,077.99 × 842.70
  4. Step 4: Simplify right side
    1,505.86x = 1,751,127.86
  5. Step 5: Solve for x
    x = 1,751,127.86/1,505.86
  6. Step 6: Final answer
    x = 1,162.88

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