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Finding the Fourth Proportional to 912.02, 1,257.99 and 842.82

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Solution

The fourth proportional to 912.02, 1,257.99 and 842.82 is: 1,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.02 : 1,257.99 = 842.82 : x
  2. Step 2: Convert to fraction form
    912.02/1,257.99 = 842.82/x
  3. Step 3: Cross multiply
    912.02x = 1,257.99 × 842.82
  4. Step 4: Simplify right side
    912.02x = 1,060,259.13
  5. Step 5: Solve for x
    x = 1,060,259.13/912.02
  6. Step 6: Final answer
    x = 1,162.55

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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.