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Finding the Fourth Proportional to 736.40, 996.30 and 736.40

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Solution

The fourth proportional to 736.40, 996.30 and 736.40 is: 996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.40 : 996.30 = 736.40 : x
  2. Step 2: Convert to fraction form
    736.40/996.30 = 736.40/x
  3. Step 3: Cross multiply
    736.40x = 996.30 × 736.40
  4. Step 4: Simplify right side
    736.40x = 733,675.32
  5. Step 5: Solve for x
    x = 733,675.32/736.40
  6. Step 6: Final answer
    x = 996.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.