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Finding the Fourth Proportional to 1,214.88, 1,821.36 and 775.68

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Solution

The fourth proportional to 1,214.88, 1,821.36 and 775.68 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.88 : 1,821.36 = 775.68 : x
  2. Step 2: Convert to fraction form
    1,214.88/1,821.36 = 775.68/x
  3. Step 3: Cross multiply
    1,214.88x = 1,821.36 × 775.68
  4. Step 4: Simplify right side
    1,214.88x = 1,412,792.52
  5. Step 5: Solve for x
    x = 1,412,792.52/1,214.88
  6. Step 6: Final answer
    x = 1,162.91

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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.