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Finding the Fourth Proportional to 699.66, 1,047.85 and 411.30

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Solution

The fourth proportional to 699.66, 1,047.85 and 411.30 is: 615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.66 : 1,047.85 = 411.30 : x
  2. Step 2: Convert to fraction form
    699.66/1,047.85 = 411.30/x
  3. Step 3: Cross multiply
    699.66x = 1,047.85 × 411.30
  4. Step 4: Simplify right side
    699.66x = 430,979.68
  5. Step 5: Solve for x
    x = 430,979.68/699.66
  6. Step 6: Final answer
    x = 615.98

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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.