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Finding the Fourth Proportional to 605.93, 834.84 and 507.51

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Solution

The fourth proportional to 605.93, 834.84 and 507.51 is: 699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.93 : 834.84 = 507.51 : x
  2. Step 2: Convert to fraction form
    605.93/834.84 = 507.51/x
  3. Step 3: Cross multiply
    605.93x = 834.84 × 507.51
  4. Step 4: Simplify right side
    605.93x = 423,689.65
  5. Step 5: Solve for x
    x = 423,689.65/605.93
  6. Step 6: Final answer
    x = 699.24

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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.