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Finding the Fourth Proportional to 948.98, 1,422.62 and 510.46

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Solution

The fourth proportional to 948.98, 1,422.62 and 510.46 is: 765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.98 : 1,422.62 = 510.46 : x
  2. Step 2: Convert to fraction form
    948.98/1,422.62 = 510.46/x
  3. Step 3: Cross multiply
    948.98x = 1,422.62 × 510.46
  4. Step 4: Simplify right side
    948.98x = 726,194.41
  5. Step 5: Solve for x
    x = 726,194.41/948.98
  6. Step 6: Final answer
    x = 765.24

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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.