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Finding the Fourth Proportional to 975.98, 1,348.27 and 844.76

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Solution

The fourth proportional to 975.98, 1,348.27 and 844.76 is: 1,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.98 : 1,348.27 = 844.76 : x
  2. Step 2: Convert to fraction form
    975.98/1,348.27 = 844.76/x
  3. Step 3: Cross multiply
    975.98x = 1,348.27 × 844.76
  4. Step 4: Simplify right side
    975.98x = 1,138,965.82
  5. Step 5: Solve for x
    x = 1,138,965.82/975.98
  6. Step 6: Final answer
    x = 1,166.99

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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.