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Finding the Fourth Proportional to 682.81, 1,024.29 and 317.71

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Solution

The fourth proportional to 682.81, 1,024.29 and 317.71 is: 476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.81 : 1,024.29 = 317.71 : x
  2. Step 2: Convert to fraction form
    682.81/1,024.29 = 317.71/x
  3. Step 3: Cross multiply
    682.81x = 1,024.29 × 317.71
  4. Step 4: Simplify right side
    682.81x = 325,427.18
  5. Step 5: Solve for x
    x = 325,427.18/682.81
  6. Step 6: Final answer
    x = 476.60

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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.