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Finding the Fourth Proportional to 1,369.54, 2,054.51 and 503.78

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Solution

The fourth proportional to 1,369.54, 2,054.51 and 503.78 is: 755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.54 : 2,054.51 = 503.78 : x
  2. Step 2: Convert to fraction form
    1,369.54/2,054.51 = 503.78/x
  3. Step 3: Cross multiply
    1,369.54x = 2,054.51 × 503.78
  4. Step 4: Simplify right side
    1,369.54x = 1,035,021.05
  5. Step 5: Solve for x
    x = 1,035,021.05/1,369.54
  6. Step 6: Final answer
    x = 755.74

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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.