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Finding the Fourth Proportional to 1,210.75, 1,814.37 and 593.76

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Solution

The fourth proportional to 1,210.75, 1,814.37 and 593.76 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.75 : 1,814.37 = 593.76 : x
  2. Step 2: Convert to fraction form
    1,210.75/1,814.37 = 593.76/x
  3. Step 3: Cross multiply
    1,210.75x = 1,814.37 × 593.76
  4. Step 4: Simplify right side
    1,210.75x = 1,077,294.61
  5. Step 5: Solve for x
    x = 1,077,294.61/1,210.75
  6. Step 6: Final answer
    x = 889.78

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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.