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Finding the Fourth Proportional to 680.63, 1,021.14 and 315.45

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Solution

The fourth proportional to 680.63, 1,021.14 and 315.45 is: 473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.63 : 1,021.14 = 315.45 : x
  2. Step 2: Convert to fraction form
    680.63/1,021.14 = 315.45/x
  3. Step 3: Cross multiply
    680.63x = 1,021.14 × 315.45
  4. Step 4: Simplify right side
    680.63x = 322,118.61
  5. Step 5: Solve for x
    x = 322,118.61/680.63
  6. Step 6: Final answer
    x = 473.27

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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.