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Finding the Fourth Proportional to 969.71, 1,339.15 and 829.01

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Solution

The fourth proportional to 969.71, 1,339.15 and 829.01 is: 1,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.71 : 1,339.15 = 829.01 : x
  2. Step 2: Convert to fraction form
    969.71/1,339.15 = 829.01/x
  3. Step 3: Cross multiply
    969.71x = 1,339.15 × 829.01
  4. Step 4: Simplify right side
    969.71x = 1,110,164.60
  5. Step 5: Solve for x
    x = 1,110,164.60/969.71
  6. Step 6: Final answer
    x = 1,144.85

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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.