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Finding the Fourth Proportional to 922.94, 1,383.28 and 675.54

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Solution

The fourth proportional to 922.94, 1,383.28 and 675.54 is: 1,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.94 : 1,383.28 = 675.54 : x
  2. Step 2: Convert to fraction form
    922.94/1,383.28 = 675.54/x
  3. Step 3: Cross multiply
    922.94x = 1,383.28 × 675.54
  4. Step 4: Simplify right side
    922.94x = 934,459.28
  5. Step 5: Solve for x
    x = 934,459.28/922.94
  6. Step 6: Final answer
    x = 1,012.48

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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.