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Finding the Fourth Proportional to 834.24, 1,252.14 and 570.66

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Solution

The fourth proportional to 834.24, 1,252.14 and 570.66 is: 856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,252.14 = 570.66 : x
  2. Step 2: Convert to fraction form
    834.24/1,252.14 = 570.66/x
  3. Step 3: Cross multiply
    834.24x = 1,252.14 × 570.66
  4. Step 4: Simplify right side
    834.24x = 714,546.21
  5. Step 5: Solve for x
    x = 714,546.21/834.24
  6. Step 6: Final answer
    x = 856.52

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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.