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Finding the Fourth Proportional to 1,101.84, 1,653.44 and 418.32

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Solution

The fourth proportional to 1,101.84, 1,653.44 and 418.32 is: 627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.84 : 1,653.44 = 418.32 : x
  2. Step 2: Convert to fraction form
    1,101.84/1,653.44 = 418.32/x
  3. Step 3: Cross multiply
    1,101.84x = 1,653.44 × 418.32
  4. Step 4: Simplify right side
    1,101.84x = 691,667.02
  5. Step 5: Solve for x
    x = 691,667.02/1,101.84
  6. Step 6: Final answer
    x = 627.74

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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.