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Finding the Fourth Proportional to 821.16, 1,230.30 and 602.28

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Solution

The fourth proportional to 821.16, 1,230.30 and 602.28 is: 902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.16 : 1,230.30 = 602.28 : x
  2. Step 2: Convert to fraction form
    821.16/1,230.30 = 602.28/x
  3. Step 3: Cross multiply
    821.16x = 1,230.30 × 602.28
  4. Step 4: Simplify right side
    821.16x = 740,985.08
  5. Step 5: Solve for x
    x = 740,985.08/821.16
  6. Step 6: Final answer
    x = 902.36

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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.