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Finding the Fourth Proportional to 727.93, 1,005.83 and 581.77

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Solution

The fourth proportional to 727.93, 1,005.83 and 581.77 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.93 : 1,005.83 = 581.77 : x
  2. Step 2: Convert to fraction form
    727.93/1,005.83 = 581.77/x
  3. Step 3: Cross multiply
    727.93x = 1,005.83 × 581.77
  4. Step 4: Simplify right side
    727.93x = 585,161.72
  5. Step 5: Solve for x
    x = 585,161.72/727.93
  6. Step 6: Final answer
    x = 803.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.