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Finding the Fourth Proportional to 3,055.56, 4,583.63 and 864.33

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Solution

The fourth proportional to 3,055.56, 4,583.63 and 864.33 is: 1,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.56 : 4,583.63 = 864.33 : x
  2. Step 2: Convert to fraction form
    3,055.56/4,583.63 = 864.33/x
  3. Step 3: Cross multiply
    3,055.56x = 4,583.63 × 864.33
  4. Step 4: Simplify right side
    3,055.56x = 3,961,768.92
  5. Step 5: Solve for x
    x = 3,961,768.92/3,055.56
  6. Step 6: Final answer
    x = 1,296.58

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1.5x scale

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.