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Finding the Fourth Proportional to 700, 1,049.82 and 411.64

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Solution

The fourth proportional to 700, 1,049.82 and 411.64 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 1,049.82 = 411.64 : x
  2. Step 2: Convert to fraction form
    700/1,049.82 = 411.64/x
  3. Step 3: Cross multiply
    700x = 1,049.82 × 411.64
  4. Step 4: Simplify right side
    700x = 432,147.90
  5. Step 5: Solve for x
    x = 432,147.90/700
  6. Step 6: Final answer
    x = 617.35

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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.