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Finding the Fourth Proportional to 1,480.09, 2,219.59 and 505.93

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Solution

The fourth proportional to 1,480.09, 2,219.59 and 505.93 is: 758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.09 : 2,219.59 = 505.93 : x
  2. Step 2: Convert to fraction form
    1,480.09/2,219.59 = 505.93/x
  3. Step 3: Cross multiply
    1,480.09x = 2,219.59 × 505.93
  4. Step 4: Simplify right side
    1,480.09x = 1,122,957.17
  5. Step 5: Solve for x
    x = 1,122,957.17/1,480.09
  6. Step 6: Final answer
    x = 758.71

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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.