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Finding the Fourth Proportional to 730.06, 1,093.71 and 565.81

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Solution

The fourth proportional to 730.06, 1,093.71 and 565.81 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.06 : 1,093.71 = 565.81 : x
  2. Step 2: Convert to fraction form
    730.06/1,093.71 = 565.81/x
  3. Step 3: Cross multiply
    730.06x = 1,093.71 × 565.81
  4. Step 4: Simplify right side
    730.06x = 618,832.06
  5. Step 5: Solve for x
    x = 618,832.06/730.06
  6. Step 6: Final answer
    x = 847.65

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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.