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Finding the Fourth Proportional to 1,384.83, 2,076.31 and 551.34

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Solution

The fourth proportional to 1,384.83, 2,076.31 and 551.34 is: 826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.83 : 2,076.31 = 551.34 : x
  2. Step 2: Convert to fraction form
    1,384.83/2,076.31 = 551.34/x
  3. Step 3: Cross multiply
    1,384.83x = 2,076.31 × 551.34
  4. Step 4: Simplify right side
    1,384.83x = 1,144,752.76
  5. Step 5: Solve for x
    x = 1,144,752.76/1,384.83
  6. Step 6: Final answer
    x = 826.64

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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.