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Finding the Fourth Proportional to 1,505.81, 2,077.80 and 842.54

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Solution

The fourth proportional to 1,505.81, 2,077.80 and 842.54 is: 1,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.81 : 2,077.80 = 842.54 : x
  2. Step 2: Convert to fraction form
    1,505.81/2,077.80 = 842.54/x
  3. Step 3: Cross multiply
    1,505.81x = 2,077.80 × 842.54
  4. Step 4: Simplify right side
    1,505.81x = 1,750,629.61
  5. Step 5: Solve for x
    x = 1,750,629.61/1,505.81
  6. Step 6: Final answer
    x = 1,162.58

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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.