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Finding the Fourth Proportional to 893.46, 1,339.72 and 345.09

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Solution

The fourth proportional to 893.46, 1,339.72 and 345.09 is: 517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.46 : 1,339.72 = 345.09 : x
  2. Step 2: Convert to fraction form
    893.46/1,339.72 = 345.09/x
  3. Step 3: Cross multiply
    893.46x = 1,339.72 × 345.09
  4. Step 4: Simplify right side
    893.46x = 462,330.08
  5. Step 5: Solve for x
    x = 462,330.08/893.46
  6. Step 6: Final answer
    x = 517.46

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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.