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Finding the Fourth Proportional to 1,116.56, 1,673.76 and 466.94

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Solution

The fourth proportional to 1,116.56, 1,673.76 and 466.94 is: 699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.56 : 1,673.76 = 466.94 : x
  2. Step 2: Convert to fraction form
    1,116.56/1,673.76 = 466.94/x
  3. Step 3: Cross multiply
    1,116.56x = 1,673.76 × 466.94
  4. Step 4: Simplify right side
    1,116.56x = 781,545.49
  5. Step 5: Solve for x
    x = 781,545.49/1,116.56
  6. Step 6: Final answer
    x = 699.96

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Why These Related Problems?

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