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Finding the Fourth Proportional to 1,053.54, 1,579.91 and 505.98

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Solution

The fourth proportional to 1,053.54, 1,579.91 and 505.98 is: 758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.54 : 1,579.91 = 505.98 : x
  2. Step 2: Convert to fraction form
    1,053.54/1,579.91 = 505.98/x
  3. Step 3: Cross multiply
    1,053.54x = 1,579.91 × 505.98
  4. Step 4: Simplify right side
    1,053.54x = 799,400.33
  5. Step 5: Solve for x
    x = 799,400.33/1,053.54
  6. Step 6: Final answer
    x = 758.78

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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.