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Finding the Fourth Proportional to 684.99, 1,025.37 and 395.55

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Solution

The fourth proportional to 684.99, 1,025.37 and 395.55 is: 592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 1,025.37 = 395.55 : x
  2. Step 2: Convert to fraction form
    684.99/1,025.37 = 395.55/x
  3. Step 3: Cross multiply
    684.99x = 1,025.37 × 395.55
  4. Step 4: Simplify right side
    684.99x = 405,585.10
  5. Step 5: Solve for x
    x = 405,585.10/684.99
  6. Step 6: Final answer
    x = 592.10

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