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Finding the Fourth Proportional to 887.36, 1,321.84 and 875.84

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Solution

The fourth proportional to 887.36, 1,321.84 and 875.84 is: 1,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.36 : 1,321.84 = 875.84 : x
  2. Step 2: Convert to fraction form
    887.36/1,321.84 = 875.84/x
  3. Step 3: Cross multiply
    887.36x = 1,321.84 × 875.84
  4. Step 4: Simplify right side
    887.36x = 1,157,720.35
  5. Step 5: Solve for x
    x = 1,157,720.35/887.36
  6. Step 6: Final answer
    x = 1,304.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.