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Finding the Fourth Proportional to 684.61, 1,025.37 and 410.13

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Solution

The fourth proportional to 684.61, 1,025.37 and 410.13 is: 614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.61 : 1,025.37 = 410.13 : x
  2. Step 2: Convert to fraction form
    684.61/1,025.37 = 410.13/x
  3. Step 3: Cross multiply
    684.61x = 1,025.37 × 410.13
  4. Step 4: Simplify right side
    684.61x = 420,535.00
  5. Step 5: Solve for x
    x = 420,535.00/684.61
  6. Step 6: Final answer
    x = 614.27

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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.