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Finding the Fourth Proportional to 1,297.35, 1,790.10 and 800.42

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Solution

The fourth proportional to 1,297.35, 1,790.10 and 800.42 is: 1,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.35 : 1,790.10 = 800.42 : x
  2. Step 2: Convert to fraction form
    1,297.35/1,790.10 = 800.42/x
  3. Step 3: Cross multiply
    1,297.35x = 1,790.10 × 800.42
  4. Step 4: Simplify right side
    1,297.35x = 1,432,822.89
  5. Step 5: Solve for x
    x = 1,432,822.89/1,297.35
  6. Step 6: Final answer
    x = 1,104.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.