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Finding the Fourth Proportional to 1,016.49, 1,402.94 and 596.87

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Solution

The fourth proportional to 1,016.49, 1,402.94 and 596.87 is: 823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.49 : 1,402.94 = 596.87 : x
  2. Step 2: Convert to fraction form
    1,016.49/1,402.94 = 596.87/x
  3. Step 3: Cross multiply
    1,016.49x = 1,402.94 × 596.87
  4. Step 4: Simplify right side
    1,016.49x = 837,362.80
  5. Step 5: Solve for x
    x = 837,362.80/1,016.49
  6. Step 6: Final answer
    x = 823.78

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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.