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Finding the Fourth Proportional to 920.81, 1,271.28 and 684.48

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Solution

The fourth proportional to 920.81, 1,271.28 and 684.48 is: 945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.81 : 1,271.28 = 684.48 : x
  2. Step 2: Convert to fraction form
    920.81/1,271.28 = 684.48/x
  3. Step 3: Cross multiply
    920.81x = 1,271.28 × 684.48
  4. Step 4: Simplify right side
    920.81x = 870,167.26
  5. Step 5: Solve for x
    x = 870,167.26/920.81
  6. Step 6: Final answer
    x = 945.00

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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.