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Finding the Fourth Proportional to 842.88, 1,264.32 and 696.96

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Solution

The fourth proportional to 842.88, 1,264.32 and 696.96 is: 1,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,264.32 = 696.96 : x
  2. Step 2: Convert to fraction form
    842.88/1,264.32 = 696.96/x
  3. Step 3: Cross multiply
    842.88x = 1,264.32 × 696.96
  4. Step 4: Simplify right side
    842.88x = 881,180.47
  5. Step 5: Solve for x
    x = 881,180.47/842.88
  6. Step 6: Final answer
    x = 1,045.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.