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Finding the Fourth Proportional to 873.63, 1,311.84 and 508.68

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Solution

The fourth proportional to 873.63, 1,311.84 and 508.68 is: 763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.63 : 1,311.84 = 508.68 : x
  2. Step 2: Convert to fraction form
    873.63/1,311.84 = 508.68/x
  3. Step 3: Cross multiply
    873.63x = 1,311.84 × 508.68
  4. Step 4: Simplify right side
    873.63x = 667,306.77
  5. Step 5: Solve for x
    x = 667,306.77/873.63
  6. Step 6: Final answer
    x = 763.83

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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.