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Finding the Fourth Proportional to 975.09, 1,462.95 and 822.45

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Solution

The fourth proportional to 975.09, 1,462.95 and 822.45 is: 1,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 1,462.95 = 822.45 : x
  2. Step 2: Convert to fraction form
    975.09/1,462.95 = 822.45/x
  3. Step 3: Cross multiply
    975.09x = 1,462.95 × 822.45
  4. Step 4: Simplify right side
    975.09x = 1,203,203.23
  5. Step 5: Solve for x
    x = 1,203,203.23/975.09
  6. Step 6: Final answer
    x = 1,233.94

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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.