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Finding the Fourth Proportional to 1,211.19, 1,814.63 and 723.30

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Solution

The fourth proportional to 1,211.19, 1,814.63 and 723.30 is: 1,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.19 : 1,814.63 = 723.30 : x
  2. Step 2: Convert to fraction form
    1,211.19/1,814.63 = 723.30/x
  3. Step 3: Cross multiply
    1,211.19x = 1,814.63 × 723.30
  4. Step 4: Simplify right side
    1,211.19x = 1,312,518.26
  5. Step 5: Solve for x
    x = 1,312,518.26/1,211.19
  6. Step 6: Final answer
    x = 1,083.66

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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.