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Finding the Fourth Proportional to 893.88, 1,340.82 and 587.68

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Solution

The fourth proportional to 893.88, 1,340.82 and 587.68 is: 881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.88 : 1,340.82 = 587.68 : x
  2. Step 2: Convert to fraction form
    893.88/1,340.82 = 587.68/x
  3. Step 3: Cross multiply
    893.88x = 1,340.82 × 587.68
  4. Step 4: Simplify right side
    893.88x = 787,973.10
  5. Step 5: Solve for x
    x = 787,973.10/893.88
  6. Step 6: Final answer
    x = 881.52

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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.