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Finding the Fourth Proportional to 940.77, 1,297.62 and 645.53

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Solution

The fourth proportional to 940.77, 1,297.62 and 645.53 is: 890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.77 : 1,297.62 = 645.53 : x
  2. Step 2: Convert to fraction form
    940.77/1,297.62 = 645.53/x
  3. Step 3: Cross multiply
    940.77x = 1,297.62 × 645.53
  4. Step 4: Simplify right side
    940.77x = 837,649.80
  5. Step 5: Solve for x
    x = 837,649.80/940.77
  6. Step 6: Final answer
    x = 890.38

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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.