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Finding the Fourth Proportional to 680.34, 1,020 and 314.91

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Solution

The fourth proportional to 680.34, 1,020 and 314.91 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,020 = 314.91 : x
  2. Step 2: Convert to fraction form
    680.34/1,020 = 314.91/x
  3. Step 3: Cross multiply
    680.34x = 1,020 × 314.91
  4. Step 4: Simplify right side
    680.34x = 321,208.20
  5. Step 5: Solve for x
    x = 321,208.20/680.34
  6. Step 6: Final answer
    x = 472.13

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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.