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Finding the Fourth Proportional to 699.12, 1,049.76 and 411.84

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Solution

The fourth proportional to 699.12, 1,049.76 and 411.84 is: 618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 1,049.76 = 411.84 : x
  2. Step 2: Convert to fraction form
    699.12/1,049.76 = 411.84/x
  3. Step 3: Cross multiply
    699.12x = 1,049.76 × 411.84
  4. Step 4: Simplify right side
    699.12x = 432,333.16
  5. Step 5: Solve for x
    x = 432,333.16/699.12
  6. Step 6: Final answer
    x = 618.40

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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.