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Finding the Fourth Proportional to 834.21, 1,151.13 and 502.80

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Solution

The fourth proportional to 834.21, 1,151.13 and 502.80 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.21 : 1,151.13 = 502.80 : x
  2. Step 2: Convert to fraction form
    834.21/1,151.13 = 502.80/x
  3. Step 3: Cross multiply
    834.21x = 1,151.13 × 502.80
  4. Step 4: Simplify right side
    834.21x = 578,788.16
  5. Step 5: Solve for x
    x = 578,788.16/834.21
  6. Step 6: Final answer
    x = 693.82

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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.