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Finding the Fourth Proportional to 680.83, 1,019.72 and 314.51

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Solution

The fourth proportional to 680.83, 1,019.72 and 314.51 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.83 : 1,019.72 = 314.51 : x
  2. Step 2: Convert to fraction form
    680.83/1,019.72 = 314.51/x
  3. Step 3: Cross multiply
    680.83x = 1,019.72 × 314.51
  4. Step 4: Simplify right side
    680.83x = 320,707.82
  5. Step 5: Solve for x
    x = 320,707.82/680.83
  6. Step 6: Final answer
    x = 471.06

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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.