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Finding the Fourth Proportional to 1,016.16, 1,402.32 and 596.64

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Solution

The fourth proportional to 1,016.16, 1,402.32 and 596.64 is: 823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.16 : 1,402.32 = 596.64 : x
  2. Step 2: Convert to fraction form
    1,016.16/1,402.32 = 596.64/x
  3. Step 3: Cross multiply
    1,016.16x = 1,402.32 × 596.64
  4. Step 4: Simplify right side
    1,016.16x = 836,680.20
  5. Step 5: Solve for x
    x = 836,680.20/1,016.16
  6. Step 6: Final answer
    x = 823.37

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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.