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Finding the Fourth Proportional to 1,420.89, 2,131.35 and 496.45

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Solution

The fourth proportional to 1,420.89, 2,131.35 and 496.45 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.89 : 2,131.35 = 496.45 : x
  2. Step 2: Convert to fraction form
    1,420.89/2,131.35 = 496.45/x
  3. Step 3: Cross multiply
    1,420.89x = 2,131.35 × 496.45
  4. Step 4: Simplify right side
    1,420.89x = 1,058,102.14
  5. Step 5: Solve for x
    x = 1,058,102.14/1,420.89
  6. Step 6: Final answer
    x = 744.67

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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.