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Finding the Fourth Proportional to 1,211.03, 1,816.80 and 431.07

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Solution

The fourth proportional to 1,211.03, 1,816.80 and 431.07 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.03 : 1,816.80 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,211.03/1,816.80 = 431.07/x
  3. Step 3: Cross multiply
    1,211.03x = 1,816.80 × 431.07
  4. Step 4: Simplify right side
    1,211.03x = 783,167.98
  5. Step 5: Solve for x
    x = 783,167.98/1,211.03
  6. Step 6: Final answer
    x = 646.70

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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.