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Finding the Fourth Proportional to 940.35, 1,297.68 and 567.42

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Solution

The fourth proportional to 940.35, 1,297.68 and 567.42 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.35 : 1,297.68 = 567.42 : x
  2. Step 2: Convert to fraction form
    940.35/1,297.68 = 567.42/x
  3. Step 3: Cross multiply
    940.35x = 1,297.68 × 567.42
  4. Step 4: Simplify right side
    940.35x = 736,329.59
  5. Step 5: Solve for x
    x = 736,329.59/940.35
  6. Step 6: Final answer
    x = 783.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.