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Finding the Fourth Proportional to 925.88, 1,277.88 and 533.04

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Solution

The fourth proportional to 925.88, 1,277.88 and 533.04 is: 735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.88 : 1,277.88 = 533.04 : x
  2. Step 2: Convert to fraction form
    925.88/1,277.88 = 533.04/x
  3. Step 3: Cross multiply
    925.88x = 1,277.88 × 533.04
  4. Step 4: Simplify right side
    925.88x = 681,161.16
  5. Step 5: Solve for x
    x = 681,161.16/925.88
  6. Step 6: Final answer
    x = 735.69

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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.