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Finding the Fourth Proportional to 1,355.06, 2,032.60 and 381.26

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Solution

The fourth proportional to 1,355.06, 2,032.60 and 381.26 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.06 : 2,032.60 = 381.26 : x
  2. Step 2: Convert to fraction form
    1,355.06/2,032.60 = 381.26/x
  3. Step 3: Cross multiply
    1,355.06x = 2,032.60 × 381.26
  4. Step 4: Simplify right side
    1,355.06x = 774,949.08
  5. Step 5: Solve for x
    x = 774,949.08/1,355.06
  6. Step 6: Final answer
    x = 571.89

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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.