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Finding the Fourth Proportional to 1,145.98, 1,716.56 and 950.52

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Solution

The fourth proportional to 1,145.98, 1,716.56 and 950.52 is: 1,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.98 : 1,716.56 = 950.52 : x
  2. Step 2: Convert to fraction form
    1,145.98/1,716.56 = 950.52/x
  3. Step 3: Cross multiply
    1,145.98x = 1,716.56 × 950.52
  4. Step 4: Simplify right side
    1,145.98x = 1,631,624.61
  5. Step 5: Solve for x
    x = 1,631,624.61/1,145.98
  6. Step 6: Final answer
    x = 1,423.78

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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.