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Finding the Fourth Proportional to 684.83, 1,027.34 and 410.64

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Solution

The fourth proportional to 684.83, 1,027.34 and 410.64 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.83 : 1,027.34 = 410.64 : x
  2. Step 2: Convert to fraction form
    684.83/1,027.34 = 410.64/x
  3. Step 3: Cross multiply
    684.83x = 1,027.34 × 410.64
  4. Step 4: Simplify right side
    684.83x = 421,864.84
  5. Step 5: Solve for x
    x = 421,864.84/684.83
  6. Step 6: Final answer
    x = 616.02

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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.