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Finding the Fourth Proportional to 969.63, 1,338.08 and 527.51

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Solution

The fourth proportional to 969.63, 1,338.08 and 527.51 is: 727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.63 : 1,338.08 = 527.51 : x
  2. Step 2: Convert to fraction form
    969.63/1,338.08 = 527.51/x
  3. Step 3: Cross multiply
    969.63x = 1,338.08 × 527.51
  4. Step 4: Simplify right side
    969.63x = 705,841.25
  5. Step 5: Solve for x
    x = 705,841.25/969.63
  6. Step 6: Final answer
    x = 727.95

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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.