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Finding the Fourth Proportional to 1,148.58, 1,722.94 and 418.16

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Solution

The fourth proportional to 1,148.58, 1,722.94 and 418.16 is: 627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.58 : 1,722.94 = 418.16 : x
  2. Step 2: Convert to fraction form
    1,148.58/1,722.94 = 418.16/x
  3. Step 3: Cross multiply
    1,148.58x = 1,722.94 × 418.16
  4. Step 4: Simplify right side
    1,148.58x = 720,464.59
  5. Step 5: Solve for x
    x = 720,464.59/1,148.58
  6. Step 6: Final answer
    x = 627.27

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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.