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Finding the Fourth Proportional to 1,210.90, 1,816.32 and 345.22

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Solution

The fourth proportional to 1,210.90, 1,816.32 and 345.22 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.90 : 1,816.32 = 345.22 : x
  2. Step 2: Convert to fraction form
    1,210.90/1,816.32 = 345.22/x
  3. Step 3: Cross multiply
    1,210.90x = 1,816.32 × 345.22
  4. Step 4: Simplify right side
    1,210.90x = 627,029.99
  5. Step 5: Solve for x
    x = 627,029.99/1,210.90
  6. Step 6: Final answer
    x = 517.82

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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.