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Finding the Fourth Proportional to 680.93, 1,021.06 and 291.11

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Solution

The fourth proportional to 680.93, 1,021.06 and 291.11 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.93 : 1,021.06 = 291.11 : x
  2. Step 2: Convert to fraction form
    680.93/1,021.06 = 291.11/x
  3. Step 3: Cross multiply
    680.93x = 1,021.06 × 291.11
  4. Step 4: Simplify right side
    680.93x = 297,240.78
  5. Step 5: Solve for x
    x = 297,240.78/680.93
  6. Step 6: Final answer
    x = 436.52

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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.