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Finding the Fourth Proportional to 1,052.21, 1,577.66 and 531.93

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Solution

The fourth proportional to 1,052.21, 1,577.66 and 531.93 is: 797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.21 : 1,577.66 = 531.93 : x
  2. Step 2: Convert to fraction form
    1,052.21/1,577.66 = 531.93/x
  3. Step 3: Cross multiply
    1,052.21x = 1,577.66 × 531.93
  4. Step 4: Simplify right side
    1,052.21x = 839,202.02
  5. Step 5: Solve for x
    x = 839,202.02/1,052.21
  6. Step 6: Final answer
    x = 797.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.