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Finding the Fourth Proportional to 887.58, 1,218.35 and 787.14

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Solution

The fourth proportional to 887.58, 1,218.35 and 787.14 is: 1,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.58 : 1,218.35 = 787.14 : x
  2. Step 2: Convert to fraction form
    887.58/1,218.35 = 787.14/x
  3. Step 3: Cross multiply
    887.58x = 1,218.35 × 787.14
  4. Step 4: Simplify right side
    887.58x = 959,008.08
  5. Step 5: Solve for x
    x = 959,008.08/887.58
  6. Step 6: Final answer
    x = 1,080.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.