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Finding the Fourth Proportional to 684.12, 1,024.74 and 319.20

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Solution

The fourth proportional to 684.12, 1,024.74 and 319.20 is: 478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.12 : 1,024.74 = 319.20 : x
  2. Step 2: Convert to fraction form
    684.12/1,024.74 = 319.20/x
  3. Step 3: Cross multiply
    684.12x = 1,024.74 × 319.20
  4. Step 4: Simplify right side
    684.12x = 327,097.01
  5. Step 5: Solve for x
    x = 327,097.01/684.12
  6. Step 6: Final answer
    x = 478.13

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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.