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Finding the Fourth Proportional to 936, 1,291.24 and 562.88

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Solution

The fourth proportional to 936, 1,291.24 and 562.88 is: 776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    936 : 1,291.24 = 562.88 : x
  2. Step 2: Convert to fraction form
    936/1,291.24 = 562.88/x
  3. Step 3: Cross multiply
    936x = 1,291.24 × 562.88
  4. Step 4: Simplify right side
    936x = 726,813.17
  5. Step 5: Solve for x
    x = 726,813.17/936
  6. Step 6: Final answer
    x = 776.51

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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.