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Finding the Fourth Proportional to 1,383.53, 2,074.84 and 505.91

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Solution

The fourth proportional to 1,383.53, 2,074.84 and 505.91 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.53 : 2,074.84 = 505.91 : x
  2. Step 2: Convert to fraction form
    1,383.53/2,074.84 = 505.91/x
  3. Step 3: Cross multiply
    1,383.53x = 2,074.84 × 505.91
  4. Step 4: Simplify right side
    1,383.53x = 1,049,686.23
  5. Step 5: Solve for x
    x = 1,049,686.23/1,383.53
  6. Step 6: Final answer
    x = 758.70

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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.