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Finding the Fourth Proportional to 1,719.54, 2,578.99 and 486.66

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Solution

The fourth proportional to 1,719.54, 2,578.99 and 486.66 is: 729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.54 : 2,578.99 = 486.66 : x
  2. Step 2: Convert to fraction form
    1,719.54/2,578.99 = 486.66/x
  3. Step 3: Cross multiply
    1,719.54x = 2,578.99 × 486.66
  4. Step 4: Simplify right side
    1,719.54x = 1,255,075.95
  5. Step 5: Solve for x
    x = 1,255,075.95/1,719.54
  6. Step 6: Final answer
    x = 729.89

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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.