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Finding the Fourth Proportional to 1,429.18, 2,144 and 551.64

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Solution

The fourth proportional to 1,429.18, 2,144 and 551.64 is: 827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.18 : 2,144 = 551.64 : x
  2. Step 2: Convert to fraction form
    1,429.18/2,144 = 551.64/x
  3. Step 3: Cross multiply
    1,429.18x = 2,144 × 551.64
  4. Step 4: Simplify right side
    1,429.18x = 1,182,716.16
  5. Step 5: Solve for x
    x = 1,182,716.16/1,429.18
  6. Step 6: Final answer
    x = 827.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.