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Finding the Fourth Proportional to 1,429.66, 2,144.52 and 505.54

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Solution

The fourth proportional to 1,429.66, 2,144.52 and 505.54 is: 758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.66 : 2,144.52 = 505.54 : x
  2. Step 2: Convert to fraction form
    1,429.66/2,144.52 = 505.54/x
  3. Step 3: Cross multiply
    1,429.66x = 2,144.52 × 505.54
  4. Step 4: Simplify right side
    1,429.66x = 1,084,140.64
  5. Step 5: Solve for x
    x = 1,084,140.64/1,429.66
  6. Step 6: Final answer
    x = 758.32

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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.