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Finding the Fourth Proportional to 846.17, 1,268.92 and 572.34

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Solution

The fourth proportional to 846.17, 1,268.92 and 572.34 is: 858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.17 : 1,268.92 = 572.34 : x
  2. Step 2: Convert to fraction form
    846.17/1,268.92 = 572.34/x
  3. Step 3: Cross multiply
    846.17x = 1,268.92 × 572.34
  4. Step 4: Simplify right side
    846.17x = 726,252.36
  5. Step 5: Solve for x
    x = 726,252.36/846.17
  6. Step 6: Final answer
    x = 858.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.