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Finding the Fourth Proportional to 1,260.20, 1,890.76 and 611

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Solution

The fourth proportional to 1,260.20, 1,890.76 and 611 is: 916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.20 : 1,890.76 = 611 : x
  2. Step 2: Convert to fraction form
    1,260.20/1,890.76 = 611/x
  3. Step 3: Cross multiply
    1,260.20x = 1,890.76 × 611
  4. Step 4: Simplify right side
    1,260.20x = 1,155,254.36
  5. Step 5: Solve for x
    x = 1,155,254.36/1,260.20
  6. Step 6: Final answer
    x = 916.72

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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.