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Finding the Fourth Proportional to 940.58, 1,297.81 and 591.07

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Solution

The fourth proportional to 940.58, 1,297.81 and 591.07 is: 815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.58 : 1,297.81 = 591.07 : x
  2. Step 2: Convert to fraction form
    940.58/1,297.81 = 591.07/x
  3. Step 3: Cross multiply
    940.58x = 1,297.81 × 591.07
  4. Step 4: Simplify right side
    940.58x = 767,087.11
  5. Step 5: Solve for x
    x = 767,087.11/940.58
  6. Step 6: Final answer
    x = 815.55

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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.