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Finding the Fourth Proportional to 893.33, 1,337.59 and 584.42

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Solution

The fourth proportional to 893.33, 1,337.59 and 584.42 is: 875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.33 : 1,337.59 = 584.42 : x
  2. Step 2: Convert to fraction form
    893.33/1,337.59 = 584.42/x
  3. Step 3: Cross multiply
    893.33x = 1,337.59 × 584.42
  4. Step 4: Simplify right side
    893.33x = 781,714.35
  5. Step 5: Solve for x
    x = 781,714.35/893.33
  6. Step 6: Final answer
    x = 875.06

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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.