Home / 1,148.76-1,723.16-418.40

Finding the Fourth Proportional to 1,148.76, 1,723.16 and 418.40

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Solution

The fourth proportional to 1,148.76, 1,723.16 and 418.40 is: 627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.76 : 1,723.16 = 418.40 : x
  2. Step 2: Convert to fraction form
    1,148.76/1,723.16 = 418.40/x
  3. Step 3: Cross multiply
    1,148.76x = 1,723.16 × 418.40
  4. Step 4: Simplify right side
    1,148.76x = 720,970.14
  5. Step 5: Solve for x
    x = 720,970.14/1,148.76
  6. Step 6: Final answer
    x = 627.61

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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.