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Finding the Fourth Proportional to 940.06, 1,297.24 and 567.19

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Solution

The fourth proportional to 940.06, 1,297.24 and 567.19 is: 782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.06 : 1,297.24 = 567.19 : x
  2. Step 2: Convert to fraction form
    940.06/1,297.24 = 567.19/x
  3. Step 3: Cross multiply
    940.06x = 1,297.24 × 567.19
  4. Step 4: Simplify right side
    940.06x = 735,781.56
  5. Step 5: Solve for x
    x = 735,781.56/940.06
  6. Step 6: Final answer
    x = 782.70

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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.