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Finding the Fourth Proportional to 1,247.17, 1,869.98 and 466.76

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Solution

The fourth proportional to 1,247.17, 1,869.98 and 466.76 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.17 : 1,869.98 = 466.76 : x
  2. Step 2: Convert to fraction form
    1,247.17/1,869.98 = 466.76/x
  3. Step 3: Cross multiply
    1,247.17x = 1,869.98 × 466.76
  4. Step 4: Simplify right side
    1,247.17x = 872,834.21
  5. Step 5: Solve for x
    x = 872,834.21/1,247.17
  6. Step 6: Final answer
    x = 699.85

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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.