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Finding the Fourth Proportional to 1,016.55, 1,402.80 and 596.90

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Solution

The fourth proportional to 1,016.55, 1,402.80 and 596.90 is: 823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.55 : 1,402.80 = 596.90 : x
  2. Step 2: Convert to fraction form
    1,016.55/1,402.80 = 596.90/x
  3. Step 3: Cross multiply
    1,016.55x = 1,402.80 × 596.90
  4. Step 4: Simplify right side
    1,016.55x = 837,324.31
  5. Step 5: Solve for x
    x = 837,324.31/1,016.55
  6. Step 6: Final answer
    x = 823.69

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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.