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Finding the Fourth Proportional to 1,490.37, 2,233.53 and 515.58

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Solution

The fourth proportional to 1,490.37, 2,233.53 and 515.58 is: 772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.37 : 2,233.53 = 515.58 : x
  2. Step 2: Convert to fraction form
    1,490.37/2,233.53 = 515.58/x
  3. Step 3: Cross multiply
    1,490.37x = 2,233.53 × 515.58
  4. Step 4: Simplify right side
    1,490.37x = 1,151,563.40
  5. Step 5: Solve for x
    x = 1,151,563.40/1,490.37
  6. Step 6: Final answer
    x = 772.67

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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.