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Finding the Fourth Proportional to 940.41, 1,297.63 and 567.48

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Solution

The fourth proportional to 940.41, 1,297.63 and 567.48 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.41 : 1,297.63 = 567.48 : x
  2. Step 2: Convert to fraction form
    940.41/1,297.63 = 567.48/x
  3. Step 3: Cross multiply
    940.41x = 1,297.63 × 567.48
  4. Step 4: Simplify right side
    940.41x = 736,379.07
  5. Step 5: Solve for x
    x = 736,379.07/940.41
  6. Step 6: Final answer
    x = 783.04

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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.