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Finding the Fourth Proportional to 1,422.75, 2,135.09 and 510.75

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Solution

The fourth proportional to 1,422.75, 2,135.09 and 510.75 is: 766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.75 : 2,135.09 = 510.75 : x
  2. Step 2: Convert to fraction form
    1,422.75/2,135.09 = 510.75/x
  3. Step 3: Cross multiply
    1,422.75x = 2,135.09 × 510.75
  4. Step 4: Simplify right side
    1,422.75x = 1,090,497.22
  5. Step 5: Solve for x
    x = 1,090,497.22/1,422.75
  6. Step 6: Final answer
    x = 766.47

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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.