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Finding the Fourth Proportional to 654.48, 902.88 and 619.20

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Solution

The fourth proportional to 654.48, 902.88 and 619.20 is: 854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 902.88 = 619.20 : x
  2. Step 2: Convert to fraction form
    654.48/902.88 = 619.20/x
  3. Step 3: Cross multiply
    654.48x = 902.88 × 619.20
  4. Step 4: Simplify right side
    654.48x = 559,063.30
  5. Step 5: Solve for x
    x = 559,063.30/654.48
  6. Step 6: Final answer
    x = 854.21

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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.