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Finding the Fourth Proportional to 1,505.74, 2,258.56 and 519.23

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Solution

The fourth proportional to 1,505.74, 2,258.56 and 519.23 is: 778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.74 : 2,258.56 = 519.23 : x
  2. Step 2: Convert to fraction form
    1,505.74/2,258.56 = 519.23/x
  3. Step 3: Cross multiply
    1,505.74x = 2,258.56 × 519.23
  4. Step 4: Simplify right side
    1,505.74x = 1,172,712.11
  5. Step 5: Solve for x
    x = 1,172,712.11/1,505.74
  6. Step 6: Final answer
    x = 778.83

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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.