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Finding the Fourth Proportional to 684.65, 946.49 and 574.09

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Solution

The fourth proportional to 684.65, 946.49 and 574.09 is: 793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 946.49 = 574.09 : x
  2. Step 2: Convert to fraction form
    684.65/946.49 = 574.09/x
  3. Step 3: Cross multiply
    684.65x = 946.49 × 574.09
  4. Step 4: Simplify right side
    684.65x = 543,365.21
  5. Step 5: Solve for x
    x = 543,365.21/684.65
  6. Step 6: Final answer
    x = 793.64

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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.