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Finding the Fourth Proportional to 1,029.05, 1,421.12 and 735.86

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Solution

The fourth proportional to 1,029.05, 1,421.12 and 735.86 is: 1,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.05 : 1,421.12 = 735.86 : x
  2. Step 2: Convert to fraction form
    1,029.05/1,421.12 = 735.86/x
  3. Step 3: Cross multiply
    1,029.05x = 1,421.12 × 735.86
  4. Step 4: Simplify right side
    1,029.05x = 1,045,745.36
  5. Step 5: Solve for x
    x = 1,045,745.36/1,029.05
  6. Step 6: Final answer
    x = 1,016.22

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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.