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Finding the Fourth Proportional to 936.54, 1,292.94 and 587.70

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Solution

The fourth proportional to 936.54, 1,292.94 and 587.70 is: 811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.54 : 1,292.94 = 587.70 : x
  2. Step 2: Convert to fraction form
    936.54/1,292.94 = 587.70/x
  3. Step 3: Cross multiply
    936.54x = 1,292.94 × 587.70
  4. Step 4: Simplify right side
    936.54x = 759,860.84
  5. Step 5: Solve for x
    x = 759,860.84/936.54
  6. Step 6: Final answer
    x = 811.35

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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.