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Finding the Fourth Proportional to 988.48, 1,362.63 and 822.63

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Solution

The fourth proportional to 988.48, 1,362.63 and 822.63 is: 1,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.48 : 1,362.63 = 822.63 : x
  2. Step 2: Convert to fraction form
    988.48/1,362.63 = 822.63/x
  3. Step 3: Cross multiply
    988.48x = 1,362.63 × 822.63
  4. Step 4: Simplify right side
    988.48x = 1,120,940.32
  5. Step 5: Solve for x
    x = 1,120,940.32/988.48
  6. Step 6: Final answer
    x = 1,134.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.