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Finding the Fourth Proportional to 700.26, 1,049.58 and 677.58

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Solution

The fourth proportional to 700.26, 1,049.58 and 677.58 is: 1,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.26 : 1,049.58 = 677.58 : x
  2. Step 2: Convert to fraction form
    700.26/1,049.58 = 677.58/x
  3. Step 3: Cross multiply
    700.26x = 1,049.58 × 677.58
  4. Step 4: Simplify right side
    700.26x = 711,174.42
  5. Step 5: Solve for x
    x = 711,174.42/700.26
  6. Step 6: Final answer
    x = 1,015.59

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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.