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Finding the Fourth Proportional to 684.64, 1,027.05 and 410.68

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Solution

The fourth proportional to 684.64, 1,027.05 and 410.68 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.64 : 1,027.05 = 410.68 : x
  2. Step 2: Convert to fraction form
    684.64/1,027.05 = 410.68/x
  3. Step 3: Cross multiply
    684.64x = 1,027.05 × 410.68
  4. Step 4: Simplify right side
    684.64x = 421,788.89
  5. Step 5: Solve for x
    x = 421,788.89/684.64
  6. Step 6: Final answer
    x = 616.07

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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.