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Finding the Fourth Proportional to 779.72, 1,074.75 and 735.98

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Solution

The fourth proportional to 779.72, 1,074.75 and 735.98 is: 1,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.72 : 1,074.75 = 735.98 : x
  2. Step 2: Convert to fraction form
    779.72/1,074.75 = 735.98/x
  3. Step 3: Cross multiply
    779.72x = 1,074.75 × 735.98
  4. Step 4: Simplify right side
    779.72x = 790,994.51
  5. Step 5: Solve for x
    x = 790,994.51/779.72
  6. Step 6: Final answer
    x = 1,014.46

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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.