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Finding the Fourth Proportional to 940.38, 1,297.72 and 526.38

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Solution

The fourth proportional to 940.38, 1,297.72 and 526.38 is: 726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.38 : 1,297.72 = 526.38 : x
  2. Step 2: Convert to fraction form
    940.38/1,297.72 = 526.38/x
  3. Step 3: Cross multiply
    940.38x = 1,297.72 × 526.38
  4. Step 4: Simplify right side
    940.38x = 683,093.85
  5. Step 5: Solve for x
    x = 683,093.85/940.38
  6. Step 6: Final answer
    x = 726.40

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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.