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Finding the Fourth Proportional to 854.94, 1,282.81 and 508.96

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Solution

The fourth proportional to 854.94, 1,282.81 and 508.96 is: 763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.94 : 1,282.81 = 508.96 : x
  2. Step 2: Convert to fraction form
    854.94/1,282.81 = 508.96/x
  3. Step 3: Cross multiply
    854.94x = 1,282.81 × 508.96
  4. Step 4: Simplify right side
    854.94x = 652,898.98
  5. Step 5: Solve for x
    x = 652,898.98/854.94
  6. Step 6: Final answer
    x = 763.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.