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Finding the Fourth Proportional to 1,145.23, 1,715.45 and 949.77

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Solution

The fourth proportional to 1,145.23, 1,715.45 and 949.77 is: 1,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.23 : 1,715.45 = 949.77 : x
  2. Step 2: Convert to fraction form
    1,145.23/1,715.45 = 949.77/x
  3. Step 3: Cross multiply
    1,145.23x = 1,715.45 × 949.77
  4. Step 4: Simplify right side
    1,145.23x = 1,629,282.95
  5. Step 5: Solve for x
    x = 1,629,282.95/1,145.23
  6. Step 6: Final answer
    x = 1,422.67

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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.