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Finding the Fourth Proportional to 893.54, 1,339.68 and 460.46

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Solution

The fourth proportional to 893.54, 1,339.68 and 460.46 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.54 : 1,339.68 = 460.46 : x
  2. Step 2: Convert to fraction form
    893.54/1,339.68 = 460.46/x
  3. Step 3: Cross multiply
    893.54x = 1,339.68 × 460.46
  4. Step 4: Simplify right side
    893.54x = 616,869.05
  5. Step 5: Solve for x
    x = 616,869.05/893.54
  6. Step 6: Final answer
    x = 690.37

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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.