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Finding the Fourth Proportional to 684.83, 1,025.71 and 319.07

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Solution

The fourth proportional to 684.83, 1,025.71 and 319.07 is: 477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.83 : 1,025.71 = 319.07 : x
  2. Step 2: Convert to fraction form
    684.83/1,025.71 = 319.07/x
  3. Step 3: Cross multiply
    684.83x = 1,025.71 × 319.07
  4. Step 4: Simplify right side
    684.83x = 327,273.29
  5. Step 5: Solve for x
    x = 327,273.29/684.83
  6. Step 6: Final answer
    x = 477.89

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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.