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Finding the Fourth Proportional to 943.54, 1,415.31 and 510.82

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Solution

The fourth proportional to 943.54, 1,415.31 and 510.82 is: 766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.54 : 1,415.31 = 510.82 : x
  2. Step 2: Convert to fraction form
    943.54/1,415.31 = 510.82/x
  3. Step 3: Cross multiply
    943.54x = 1,415.31 × 510.82
  4. Step 4: Simplify right side
    943.54x = 722,968.65
  5. Step 5: Solve for x
    x = 722,968.65/943.54
  6. Step 6: Final answer
    x = 766.23

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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.