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Finding the Fourth Proportional to 1,259.51, 1,738.22 and 944.19

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Solution

The fourth proportional to 1,259.51, 1,738.22 and 944.19 is: 1,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.51 : 1,738.22 = 944.19 : x
  2. Step 2: Convert to fraction form
    1,259.51/1,738.22 = 944.19/x
  3. Step 3: Cross multiply
    1,259.51x = 1,738.22 × 944.19
  4. Step 4: Simplify right side
    1,259.51x = 1,641,205.22
  5. Step 5: Solve for x
    x = 1,641,205.22/1,259.51
  6. Step 6: Final answer
    x = 1,303.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.