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Finding the Fourth Proportional to 834.79, 1,151.58 and 520.01

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Solution

The fourth proportional to 834.79, 1,151.58 and 520.01 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.79 : 1,151.58 = 520.01 : x
  2. Step 2: Convert to fraction form
    834.79/1,151.58 = 520.01/x
  3. Step 3: Cross multiply
    834.79x = 1,151.58 × 520.01
  4. Step 4: Simplify right side
    834.79x = 598,833.12
  5. Step 5: Solve for x
    x = 598,833.12/834.79
  6. Step 6: Final answer
    x = 717.35

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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.