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Finding the Fourth Proportional to 3,259.19, 4,888.70 and 794.00

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Solution

The fourth proportional to 3,259.19, 4,888.70 and 794.00 is: 1,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.19 : 4,888.70 = 794.00 : x
  2. Step 2: Convert to fraction form
    3,259.19/4,888.70 = 794.00/x
  3. Step 3: Cross multiply
    3,259.19x = 4,888.70 × 794.00
  4. Step 4: Simplify right side
    3,259.19x = 3,881,643.50
  5. Step 5: Solve for x
    x = 3,881,643.50/3,259.19
  6. Step 6: Final answer
    x = 1,190.99

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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.