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Finding the Fourth Proportional to 1,505.84, 2,078.24 and 842.78

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Solution

The fourth proportional to 1,505.84, 2,078.24 and 842.78 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.84 : 2,078.24 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,505.84/2,078.24 = 842.78/x
  3. Step 3: Cross multiply
    1,505.84x = 2,078.24 × 842.78
  4. Step 4: Simplify right side
    1,505.84x = 1,751,484.50
  5. Step 5: Solve for x
    x = 1,751,484.50/1,505.84
  6. Step 6: Final answer
    x = 1,163.13

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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.