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Finding the Fourth Proportional to 1,210.06, 1,814.70 and 388.30

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Solution

The fourth proportional to 1,210.06, 1,814.70 and 388.30 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.06 : 1,814.70 = 388.30 : x
  2. Step 2: Convert to fraction form
    1,210.06/1,814.70 = 388.30/x
  3. Step 3: Cross multiply
    1,210.06x = 1,814.70 × 388.30
  4. Step 4: Simplify right side
    1,210.06x = 704,648.01
  5. Step 5: Solve for x
    x = 704,648.01/1,210.06
  6. Step 6: Final answer
    x = 582.32

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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.