Home / 1,448.64-2,173.26-583.02

Finding the Fourth Proportional to 1,448.64, 2,173.26 and 583.02

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Solution

The fourth proportional to 1,448.64, 2,173.26 and 583.02 is: 874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.64 : 2,173.26 = 583.02 : x
  2. Step 2: Convert to fraction form
    1,448.64/2,173.26 = 583.02/x
  3. Step 3: Cross multiply
    1,448.64x = 2,173.26 × 583.02
  4. Step 4: Simplify right side
    1,448.64x = 1,267,054.05
  5. Step 5: Solve for x
    x = 1,267,054.05/1,448.64
  6. Step 6: Final answer
    x = 874.65

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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.