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Finding the Fourth Proportional to 684.54, 1,024.49 and 574.97

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Solution

The fourth proportional to 684.54, 1,024.49 and 574.97 is: 860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.54 : 1,024.49 = 574.97 : x
  2. Step 2: Convert to fraction form
    684.54/1,024.49 = 574.97/x
  3. Step 3: Cross multiply
    684.54x = 1,024.49 × 574.97
  4. Step 4: Simplify right side
    684.54x = 589,051.02
  5. Step 5: Solve for x
    x = 589,051.02/684.54
  6. Step 6: Final answer
    x = 860.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.