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Finding the Fourth Proportional to 1,262.61, 1,890.75 and 798.99

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Solution

The fourth proportional to 1,262.61, 1,890.75 and 798.99 is: 1,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.61 : 1,890.75 = 798.99 : x
  2. Step 2: Convert to fraction form
    1,262.61/1,890.75 = 798.99/x
  3. Step 3: Cross multiply
    1,262.61x = 1,890.75 × 798.99
  4. Step 4: Simplify right side
    1,262.61x = 1,510,690.34
  5. Step 5: Solve for x
    x = 1,510,690.34/1,262.61
  6. Step 6: Final answer
    x = 1,196.48

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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.