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Finding the Fourth Proportional to 1,219.77, 1,827.34 and 602.75

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Solution

The fourth proportional to 1,219.77, 1,827.34 and 602.75 is: 902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.77 : 1,827.34 = 602.75 : x
  2. Step 2: Convert to fraction form
    1,219.77/1,827.34 = 602.75/x
  3. Step 3: Cross multiply
    1,219.77x = 1,827.34 × 602.75
  4. Step 4: Simplify right side
    1,219.77x = 1,101,429.19
  5. Step 5: Solve for x
    x = 1,101,429.19/1,219.77
  6. Step 6: Final answer
    x = 902.98

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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.