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Finding the Fourth Proportional to 834.34, 1,151.35 and 502.70

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Solution

The fourth proportional to 834.34, 1,151.35 and 502.70 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.34 : 1,151.35 = 502.70 : x
  2. Step 2: Convert to fraction form
    834.34/1,151.35 = 502.70/x
  3. Step 3: Cross multiply
    834.34x = 1,151.35 × 502.70
  4. Step 4: Simplify right side
    834.34x = 578,785.94
  5. Step 5: Solve for x
    x = 578,785.94/834.34
  6. Step 6: Final answer
    x = 693.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.