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Finding the Fourth Proportional to 1,016.46, 1,402.65 and 596.79

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Solution

The fourth proportional to 1,016.46, 1,402.65 and 596.79 is: 823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.46 : 1,402.65 = 596.79 : x
  2. Step 2: Convert to fraction form
    1,016.46/1,402.65 = 596.79/x
  3. Step 3: Cross multiply
    1,016.46x = 1,402.65 × 596.79
  4. Step 4: Simplify right side
    1,016.46x = 837,087.49
  5. Step 5: Solve for x
    x = 837,087.49/1,016.46
  6. Step 6: Final answer
    x = 823.53

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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.