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Finding the Fourth Proportional to 926.03, 1,277.94 and 533.08

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Solution

The fourth proportional to 926.03, 1,277.94 and 533.08 is: 735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.03 : 1,277.94 = 533.08 : x
  2. Step 2: Convert to fraction form
    926.03/1,277.94 = 533.08/x
  3. Step 3: Cross multiply
    926.03x = 1,277.94 × 533.08
  4. Step 4: Simplify right side
    926.03x = 681,247.85
  5. Step 5: Solve for x
    x = 681,247.85/926.03
  6. Step 6: Final answer
    x = 735.66

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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.