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Finding the Fourth Proportional to 927.71, 1,280.22 and 508.05

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Solution

The fourth proportional to 927.71, 1,280.22 and 508.05 is: 701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.71 : 1,280.22 = 508.05 : x
  2. Step 2: Convert to fraction form
    927.71/1,280.22 = 508.05/x
  3. Step 3: Cross multiply
    927.71x = 1,280.22 × 508.05
  4. Step 4: Simplify right side
    927.71x = 650,415.77
  5. Step 5: Solve for x
    x = 650,415.77/927.71
  6. Step 6: Final answer
    x = 701.10

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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.