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Finding the Fourth Proportional to 1,505.48, 2,258.19 and 683.16

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Solution

The fourth proportional to 1,505.48, 2,258.19 and 683.16 is: 1,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.48 : 2,258.19 = 683.16 : x
  2. Step 2: Convert to fraction form
    1,505.48/2,258.19 = 683.16/x
  3. Step 3: Cross multiply
    1,505.48x = 2,258.19 × 683.16
  4. Step 4: Simplify right side
    1,505.48x = 1,542,705.08
  5. Step 5: Solve for x
    x = 1,542,705.08/1,505.48
  6. Step 6: Final answer
    x = 1,024.73

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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.