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Finding the Fourth Proportional to 968.69, 1,336.86 and 590.51

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Solution

The fourth proportional to 968.69, 1,336.86 and 590.51 is: 814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.69 : 1,336.86 = 590.51 : x
  2. Step 2: Convert to fraction form
    968.69/1,336.86 = 590.51/x
  3. Step 3: Cross multiply
    968.69x = 1,336.86 × 590.51
  4. Step 4: Simplify right side
    968.69x = 789,432.54
  5. Step 5: Solve for x
    x = 789,432.54/968.69
  6. Step 6: Final answer
    x = 814.95

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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.