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Finding the Fourth Proportional to 1,210.12, 1,814.38 and 661.88

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Solution

The fourth proportional to 1,210.12, 1,814.38 and 661.88 is: 992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.12 : 1,814.38 = 661.88 : x
  2. Step 2: Convert to fraction form
    1,210.12/1,814.38 = 661.88/x
  3. Step 3: Cross multiply
    1,210.12x = 1,814.38 × 661.88
  4. Step 4: Simplify right side
    1,210.12x = 1,200,901.83
  5. Step 5: Solve for x
    x = 1,200,901.83/1,210.12
  6. Step 6: Final answer
    x = 992.38

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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.