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Finding the Fourth Proportional to 1,455.95, 2,183.34 and 531.29

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Solution

The fourth proportional to 1,455.95, 2,183.34 and 531.29 is: 796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.95 : 2,183.34 = 531.29 : x
  2. Step 2: Convert to fraction form
    1,455.95/2,183.34 = 531.29/x
  3. Step 3: Cross multiply
    1,455.95x = 2,183.34 × 531.29
  4. Step 4: Simplify right side
    1,455.95x = 1,159,986.71
  5. Step 5: Solve for x
    x = 1,159,986.71/1,455.95
  6. Step 6: Final answer
    x = 796.72

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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.