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Finding the Fourth Proportional to 972.24, 1,451.75 and 799.26

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Solution

The fourth proportional to 972.24, 1,451.75 and 799.26 is: 1,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.24 : 1,451.75 = 799.26 : x
  2. Step 2: Convert to fraction form
    972.24/1,451.75 = 799.26/x
  3. Step 3: Cross multiply
    972.24x = 1,451.75 × 799.26
  4. Step 4: Simplify right side
    972.24x = 1,160,325.71
  5. Step 5: Solve for x
    x = 1,160,325.71/972.24
  6. Step 6: Final answer
    x = 1,193.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.