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Finding the Fourth Proportional to 684.66, 1,027.09 and 360.05

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Solution

The fourth proportional to 684.66, 1,027.09 and 360.05 is: 540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,027.09 = 360.05 : x
  2. Step 2: Convert to fraction form
    684.66/1,027.09 = 360.05/x
  3. Step 3: Cross multiply
    684.66x = 1,027.09 × 360.05
  4. Step 4: Simplify right side
    684.66x = 369,803.75
  5. Step 5: Solve for x
    x = 369,803.75/684.66
  6. Step 6: Final answer
    x = 540.13

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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.