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Finding the Fourth Proportional to 1,260.18, 1,890.07 and 394.49

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Solution

The fourth proportional to 1,260.18, 1,890.07 and 394.49 is: 591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.18 : 1,890.07 = 394.49 : x
  2. Step 2: Convert to fraction form
    1,260.18/1,890.07 = 394.49/x
  3. Step 3: Cross multiply
    1,260.18x = 1,890.07 × 394.49
  4. Step 4: Simplify right side
    1,260.18x = 745,615.90
  5. Step 5: Solve for x
    x = 745,615.90/1,260.18
  6. Step 6: Final answer
    x = 591.67

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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.