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Finding the Fourth Proportional to 926.61, 1,278.74 and 528.22

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Solution

The fourth proportional to 926.61, 1,278.74 and 528.22 is: 728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.61 : 1,278.74 = 528.22 : x
  2. Step 2: Convert to fraction form
    926.61/1,278.74 = 528.22/x
  3. Step 3: Cross multiply
    926.61x = 1,278.74 × 528.22
  4. Step 4: Simplify right side
    926.61x = 675,456.04
  5. Step 5: Solve for x
    x = 675,456.04/926.61
  6. Step 6: Final answer
    x = 728.95

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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.