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Finding the Fourth Proportional to 1,210.08, 1,813.76 and 722.12

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Solution

The fourth proportional to 1,210.08, 1,813.76 and 722.12 is: 1,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.08 : 1,813.76 = 722.12 : x
  2. Step 2: Convert to fraction form
    1,210.08/1,813.76 = 722.12/x
  3. Step 3: Cross multiply
    1,210.08x = 1,813.76 × 722.12
  4. Step 4: Simplify right side
    1,210.08x = 1,309,752.37
  5. Step 5: Solve for x
    x = 1,309,752.37/1,210.08
  6. Step 6: Final answer
    x = 1,082.37

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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.