Home / 1,054.24-1,581.52-360.80

Finding the Fourth Proportional to 1,054.24, 1,581.52 and 360.80

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Solution

The fourth proportional to 1,054.24, 1,581.52 and 360.80 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.24 : 1,581.52 = 360.80 : x
  2. Step 2: Convert to fraction form
    1,054.24/1,581.52 = 360.80/x
  3. Step 3: Cross multiply
    1,054.24x = 1,581.52 × 360.80
  4. Step 4: Simplify right side
    1,054.24x = 570,612.42
  5. Step 5: Solve for x
    x = 570,612.42/1,054.24
  6. Step 6: Final answer
    x = 541.25

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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.