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Finding the Fourth Proportional to 969.86, 1,338.37 and 527.76

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Solution

The fourth proportional to 969.86, 1,338.37 and 527.76 is: 728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.86 : 1,338.37 = 527.76 : x
  2. Step 2: Convert to fraction form
    969.86/1,338.37 = 527.76/x
  3. Step 3: Cross multiply
    969.86x = 1,338.37 × 527.76
  4. Step 4: Simplify right side
    969.86x = 706,332.78
  5. Step 5: Solve for x
    x = 706,332.78/969.86
  6. Step 6: Final answer
    x = 728.28

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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.