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Finding the Fourth Proportional to 934.17, 1,288.62 and 584.25

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Solution

The fourth proportional to 934.17, 1,288.62 and 584.25 is: 805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.17 : 1,288.62 = 584.25 : x
  2. Step 2: Convert to fraction form
    934.17/1,288.62 = 584.25/x
  3. Step 3: Cross multiply
    934.17x = 1,288.62 × 584.25
  4. Step 4: Simplify right side
    934.17x = 752,876.24
  5. Step 5: Solve for x
    x = 752,876.24/934.17
  6. Step 6: Final answer
    x = 805.93

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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.