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Finding the Fourth Proportional to 682.63, 1,024.14 and 317.45

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Solution

The fourth proportional to 682.63, 1,024.14 and 317.45 is: 476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.63 : 1,024.14 = 317.45 : x
  2. Step 2: Convert to fraction form
    682.63/1,024.14 = 317.45/x
  3. Step 3: Cross multiply
    682.63x = 1,024.14 × 317.45
  4. Step 4: Simplify right side
    682.63x = 325,113.24
  5. Step 5: Solve for x
    x = 325,113.24/682.63
  6. Step 6: Final answer
    x = 476.27

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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.