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Finding the Fourth Proportional to 893.18, 1,346.56 and 830.54

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Solution

The fourth proportional to 893.18, 1,346.56 and 830.54 is: 1,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.18 : 1,346.56 = 830.54 : x
  2. Step 2: Convert to fraction form
    893.18/1,346.56 = 830.54/x
  3. Step 3: Cross multiply
    893.18x = 1,346.56 × 830.54
  4. Step 4: Simplify right side
    893.18x = 1,118,371.94
  5. Step 5: Solve for x
    x = 1,118,371.94/893.18
  6. Step 6: Final answer
    x = 1,252.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.