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Finding the Fourth Proportional to 1,122.48, 1,683 and 602.16

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Solution

The fourth proportional to 1,122.48, 1,683 and 602.16 is: 902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.48 : 1,683 = 602.16 : x
  2. Step 2: Convert to fraction form
    1,122.48/1,683 = 602.16/x
  3. Step 3: Cross multiply
    1,122.48x = 1,683 × 602.16
  4. Step 4: Simplify right side
    1,122.48x = 1,013,435.28
  5. Step 5: Solve for x
    x = 1,013,435.28/1,122.48
  6. Step 6: Final answer
    x = 902.85

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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.