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Finding the Fourth Proportional to 860.03, 1,289.89 and 420.84

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Solution

The fourth proportional to 860.03, 1,289.89 and 420.84 is: 631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.03 : 1,289.89 = 420.84 : x
  2. Step 2: Convert to fraction form
    860.03/1,289.89 = 420.84/x
  3. Step 3: Cross multiply
    860.03x = 1,289.89 × 420.84
  4. Step 4: Simplify right side
    860.03x = 542,836.26
  5. Step 5: Solve for x
    x = 542,836.26/860.03
  6. Step 6: Final answer
    x = 631.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.