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Finding the Fourth Proportional to 926.98, 1,279.80 and 716.74

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Solution

The fourth proportional to 926.98, 1,279.80 and 716.74 is: 989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.98 : 1,279.80 = 716.74 : x
  2. Step 2: Convert to fraction form
    926.98/1,279.80 = 716.74/x
  3. Step 3: Cross multiply
    926.98x = 1,279.80 × 716.74
  4. Step 4: Simplify right side
    926.98x = 917,283.85
  5. Step 5: Solve for x
    x = 917,283.85/926.98
  6. Step 6: Final answer
    x = 989.54

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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.