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Finding the Fourth Proportional to 893.18, 1,339.54 and 276.77

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Solution

The fourth proportional to 893.18, 1,339.54 and 276.77 is: 415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.18 : 1,339.54 = 276.77 : x
  2. Step 2: Convert to fraction form
    893.18/1,339.54 = 276.77/x
  3. Step 3: Cross multiply
    893.18x = 1,339.54 × 276.77
  4. Step 4: Simplify right side
    893.18x = 370,739.61
  5. Step 5: Solve for x
    x = 370,739.61/893.18
  6. Step 6: Final answer
    x = 415.08

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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.