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Finding the Fourth Proportional to 1,506.38, 2,258.93 and 519.29

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Solution

The fourth proportional to 1,506.38, 2,258.93 and 519.29 is: 778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.38 : 2,258.93 = 519.29 : x
  2. Step 2: Convert to fraction form
    1,506.38/2,258.93 = 519.29/x
  3. Step 3: Cross multiply
    1,506.38x = 2,258.93 × 519.29
  4. Step 4: Simplify right side
    1,506.38x = 1,173,039.76
  5. Step 5: Solve for x
    x = 1,173,039.76/1,506.38
  6. Step 6: Final answer
    x = 778.71

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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.