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Finding the Fourth Proportional to 873.78, 1,311.30 and 508.20

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Solution

The fourth proportional to 873.78, 1,311.30 and 508.20 is: 762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.78 : 1,311.30 = 508.20 : x
  2. Step 2: Convert to fraction form
    873.78/1,311.30 = 508.20/x
  3. Step 3: Cross multiply
    873.78x = 1,311.30 × 508.20
  4. Step 4: Simplify right side
    873.78x = 666,402.66
  5. Step 5: Solve for x
    x = 666,402.66/873.78
  6. Step 6: Final answer
    x = 762.67

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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.