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Finding the Fourth Proportional to 854.97, 1,283.36 and 508.70

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Solution

The fourth proportional to 854.97, 1,283.36 and 508.70 is: 763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.97 : 1,283.36 = 508.70 : x
  2. Step 2: Convert to fraction form
    854.97/1,283.36 = 508.70/x
  3. Step 3: Cross multiply
    854.97x = 1,283.36 × 508.70
  4. Step 4: Simplify right side
    854.97x = 652,836.27
  5. Step 5: Solve for x
    x = 652,836.27/854.97
  6. Step 6: Final answer
    x = 763.58

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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.