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Finding the Fourth Proportional to 684.45, 1,026.62 and 409.93

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Solution

The fourth proportional to 684.45, 1,026.62 and 409.93 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 1,026.62 = 409.93 : x
  2. Step 2: Convert to fraction form
    684.45/1,026.62 = 409.93/x
  3. Step 3: Cross multiply
    684.45x = 1,026.62 × 409.93
  4. Step 4: Simplify right side
    684.45x = 420,837.20
  5. Step 5: Solve for x
    x = 420,837.20/684.45
  6. Step 6: Final answer
    x = 614.85

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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.