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Finding the Fourth Proportional to 1,210.98, 1,816.62 and 389.31

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Solution

The fourth proportional to 1,210.98, 1,816.62 and 389.31 is: 584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.98 : 1,816.62 = 389.31 : x
  2. Step 2: Convert to fraction form
    1,210.98/1,816.62 = 389.31/x
  3. Step 3: Cross multiply
    1,210.98x = 1,816.62 × 389.31
  4. Step 4: Simplify right side
    1,210.98x = 707,228.33
  5. Step 5: Solve for x
    x = 707,228.33/1,210.98
  6. Step 6: Final answer
    x = 584.01

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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.