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Finding the Fourth Proportional to 887.46, 1,327.86 and 797.64

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Solution

The fourth proportional to 887.46, 1,327.86 and 797.64 is: 1,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.46 : 1,327.86 = 797.64 : x
  2. Step 2: Convert to fraction form
    887.46/1,327.86 = 797.64/x
  3. Step 3: Cross multiply
    887.46x = 1,327.86 × 797.64
  4. Step 4: Simplify right side
    887.46x = 1,059,154.25
  5. Step 5: Solve for x
    x = 1,059,154.25/887.46
  6. Step 6: Final answer
    x = 1,193.47

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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.