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Finding the Fourth Proportional to 1,408.07, 2,111.55 and 420.60

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Solution

The fourth proportional to 1,408.07, 2,111.55 and 420.60 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.07 : 2,111.55 = 420.60 : x
  2. Step 2: Convert to fraction form
    1,408.07/2,111.55 = 420.60/x
  3. Step 3: Cross multiply
    1,408.07x = 2,111.55 × 420.60
  4. Step 4: Simplify right side
    1,408.07x = 888,117.93
  5. Step 5: Solve for x
    x = 888,117.93/1,408.07
  6. Step 6: Final answer
    x = 630.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.