Home / 1,164.20-1,746.32-298.52

Finding the Fourth Proportional to 1,164.20, 1,746.32 and 298.52

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Solution

The fourth proportional to 1,164.20, 1,746.32 and 298.52 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.20 : 1,746.32 = 298.52 : x
  2. Step 2: Convert to fraction form
    1,164.20/1,746.32 = 298.52/x
  3. Step 3: Cross multiply
    1,164.20x = 1,746.32 × 298.52
  4. Step 4: Simplify right side
    1,164.20x = 521,311.45
  5. Step 5: Solve for x
    x = 521,311.45/1,164.20
  6. Step 6: Final answer
    x = 447.79

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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.