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Finding the Fourth Proportional to 862.84, 1,190.42 and 653.80

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Solution

The fourth proportional to 862.84, 1,190.42 and 653.80 is: 902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,190.42 = 653.80 : x
  2. Step 2: Convert to fraction form
    862.84/1,190.42 = 653.80/x
  3. Step 3: Cross multiply
    862.84x = 1,190.42 × 653.80
  4. Step 4: Simplify right side
    862.84x = 778,296.60
  5. Step 5: Solve for x
    x = 778,296.60/862.84
  6. Step 6: Final answer
    x = 902.02

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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.