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Finding the Fourth Proportional to 1,010.50, 1,393.27 and 823.60

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Solution

The fourth proportional to 1,010.50, 1,393.27 and 823.60 is: 1,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.50 : 1,393.27 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,010.50/1,393.27 = 823.60/x
  3. Step 3: Cross multiply
    1,010.50x = 1,393.27 × 823.60
  4. Step 4: Simplify right side
    1,010.50x = 1,147,497.17
  5. Step 5: Solve for x
    x = 1,147,497.17/1,010.50
  6. Step 6: Final answer
    x = 1,135.57

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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.