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Finding the Fourth Proportional to 738.40, 982.73 and 738.40

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Solution

The fourth proportional to 738.40, 982.73 and 738.40 is: 982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.40 : 982.73 = 738.40 : x
  2. Step 2: Convert to fraction form
    738.40/982.73 = 738.40/x
  3. Step 3: Cross multiply
    738.40x = 982.73 × 738.40
  4. Step 4: Simplify right side
    738.40x = 725,647.83
  5. Step 5: Solve for x
    x = 725,647.83/738.40
  6. Step 6: Final answer
    x = 982.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.