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Finding the Fourth Proportional to 960.81, 1,325.94 and 588.00

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Solution

The fourth proportional to 960.81, 1,325.94 and 588.00 is: 811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.81 : 1,325.94 = 588.00 : x
  2. Step 2: Convert to fraction form
    960.81/1,325.94 = 588.00/x
  3. Step 3: Cross multiply
    960.81x = 1,325.94 × 588.00
  4. Step 4: Simplify right side
    960.81x = 779,651.13
  5. Step 5: Solve for x
    x = 779,651.13/960.81
  6. Step 6: Final answer
    x = 811.45

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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.