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Finding the Fourth Proportional to 925.92, 1,277.84 and 533.07

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Solution

The fourth proportional to 925.92, 1,277.84 and 533.07 is: 735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,277.84 = 533.07 : x
  2. Step 2: Convert to fraction form
    925.92/1,277.84 = 533.07/x
  3. Step 3: Cross multiply
    925.92x = 1,277.84 × 533.07
  4. Step 4: Simplify right side
    925.92x = 681,179.50
  5. Step 5: Solve for x
    x = 681,179.50/925.92
  6. Step 6: Final answer
    x = 735.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.