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Finding the Fourth Proportional to 912.08, 1,259.25 and 632.22

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Solution

The fourth proportional to 912.08, 1,259.25 and 632.22 is: 872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.08 : 1,259.25 = 632.22 : x
  2. Step 2: Convert to fraction form
    912.08/1,259.25 = 632.22/x
  3. Step 3: Cross multiply
    912.08x = 1,259.25 × 632.22
  4. Step 4: Simplify right side
    912.08x = 796,123.04
  5. Step 5: Solve for x
    x = 796,123.04/912.08
  6. Step 6: Final answer
    x = 872.87

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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.