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Finding the Fourth Proportional to 867.92, 1,198.73 and 632.93

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Solution

The fourth proportional to 867.92, 1,198.73 and 632.93 is: 874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.92 : 1,198.73 = 632.93 : x
  2. Step 2: Convert to fraction form
    867.92/1,198.73 = 632.93/x
  3. Step 3: Cross multiply
    867.92x = 1,198.73 × 632.93
  4. Step 4: Simplify right side
    867.92x = 758,703.02
  5. Step 5: Solve for x
    x = 758,703.02/867.92
  6. Step 6: Final answer
    x = 874.16

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