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Finding the Fourth Proportional to 842.86, 1,162.72 and 563.01

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Solution

The fourth proportional to 842.86, 1,162.72 and 563.01 is: 776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.86 : 1,162.72 = 563.01 : x
  2. Step 2: Convert to fraction form
    842.86/1,162.72 = 563.01/x
  3. Step 3: Cross multiply
    842.86x = 1,162.72 × 563.01
  4. Step 4: Simplify right side
    842.86x = 654,616.16
  5. Step 5: Solve for x
    x = 654,616.16/842.86
  6. Step 6: Final answer
    x = 776.66

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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.