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Finding the Fourth Proportional to 699.91, 1,049.06 and 570.15

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Solution

The fourth proportional to 699.91, 1,049.06 and 570.15 is: 854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.91 : 1,049.06 = 570.15 : x
  2. Step 2: Convert to fraction form
    699.91/1,049.06 = 570.15/x
  3. Step 3: Cross multiply
    699.91x = 1,049.06 × 570.15
  4. Step 4: Simplify right side
    699.91x = 598,113.46
  5. Step 5: Solve for x
    x = 598,113.46/699.91
  6. Step 6: Final answer
    x = 854.56

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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.