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Finding the Fourth Proportional to 1,225.79, 1,836.36 and 950.53

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Solution

The fourth proportional to 1,225.79, 1,836.36 and 950.53 is: 1,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.79 : 1,836.36 = 950.53 : x
  2. Step 2: Convert to fraction form
    1,225.79/1,836.36 = 950.53/x
  3. Step 3: Cross multiply
    1,225.79x = 1,836.36 × 950.53
  4. Step 4: Simplify right side
    1,225.79x = 1,745,515.27
  5. Step 5: Solve for x
    x = 1,745,515.27/1,225.79
  6. Step 6: Final answer
    x = 1,423.99

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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.