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Finding the Fourth Proportional to 1,016.08, 1,402.12 and 602

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Solution

The fourth proportional to 1,016.08, 1,402.12 and 602 is: 830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.08 : 1,402.12 = 602 : x
  2. Step 2: Convert to fraction form
    1,016.08/1,402.12 = 602/x
  3. Step 3: Cross multiply
    1,016.08x = 1,402.12 × 602
  4. Step 4: Simplify right side
    1,016.08x = 844,076.24
  5. Step 5: Solve for x
    x = 844,076.24/1,016.08
  6. Step 6: Final answer
    x = 830.72

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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.