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Finding the Fourth Proportional to 893.90, 1,339.77 and 546.14

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Solution

The fourth proportional to 893.90, 1,339.77 and 546.14 is: 818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.90 : 1,339.77 = 546.14 : x
  2. Step 2: Convert to fraction form
    893.90/1,339.77 = 546.14/x
  3. Step 3: Cross multiply
    893.90x = 1,339.77 × 546.14
  4. Step 4: Simplify right side
    893.90x = 731,701.99
  5. Step 5: Solve for x
    x = 731,701.99/893.90
  6. Step 6: Final answer
    x = 818.55

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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.