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Finding the Fourth Proportional to 1,219.68, 1,828.76 and 525.96

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Solution

The fourth proportional to 1,219.68, 1,828.76 and 525.96 is: 788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,828.76 = 525.96 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,828.76 = 525.96/x
  3. Step 3: Cross multiply
    1,219.68x = 1,828.76 × 525.96
  4. Step 4: Simplify right side
    1,219.68x = 961,851.98
  5. Step 5: Solve for x
    x = 961,851.98/1,219.68
  6. Step 6: Final answer
    x = 788.61

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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.