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Finding the Fourth Proportional to 1,421.58, 1,961.87 and 800.62

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Solution

The fourth proportional to 1,421.58, 1,961.87 and 800.62 is: 1,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.58 : 1,961.87 = 800.62 : x
  2. Step 2: Convert to fraction form
    1,421.58/1,961.87 = 800.62/x
  3. Step 3: Cross multiply
    1,421.58x = 1,961.87 × 800.62
  4. Step 4: Simplify right side
    1,421.58x = 1,570,712.36
  5. Step 5: Solve for x
    x = 1,570,712.36/1,421.58
  6. Step 6: Final answer
    x = 1,104.91

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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.