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Finding the Fourth Proportional to 1,225.06, 1,834.55 and 833.63

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Solution

The fourth proportional to 1,225.06, 1,834.55 and 833.63 is: 1,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.06 : 1,834.55 = 833.63 : x
  2. Step 2: Convert to fraction form
    1,225.06/1,834.55 = 833.63/x
  3. Step 3: Cross multiply
    1,225.06x = 1,834.55 × 833.63
  4. Step 4: Simplify right side
    1,225.06x = 1,529,325.70
  5. Step 5: Solve for x
    x = 1,529,325.70/1,225.06
  6. Step 6: Final answer
    x = 1,248.37

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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.