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Finding the Fourth Proportional to 1,171.52, 1,616.76 and 729.44

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Solution

The fourth proportional to 1,171.52, 1,616.76 and 729.44 is: 1,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.52 : 1,616.76 = 729.44 : x
  2. Step 2: Convert to fraction form
    1,171.52/1,616.76 = 729.44/x
  3. Step 3: Cross multiply
    1,171.52x = 1,616.76 × 729.44
  4. Step 4: Simplify right side
    1,171.52x = 1,179,329.41
  5. Step 5: Solve for x
    x = 1,179,329.41/1,171.52
  6. Step 6: Final answer
    x = 1,006.67

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1.5x scale

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.