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Finding the Fourth Proportional to 1,111.92, 1,668.24 and 534.84

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Solution

The fourth proportional to 1,111.92, 1,668.24 and 534.84 is: 802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.92 : 1,668.24 = 534.84 : x
  2. Step 2: Convert to fraction form
    1,111.92/1,668.24 = 534.84/x
  3. Step 3: Cross multiply
    1,111.92x = 1,668.24 × 534.84
  4. Step 4: Simplify right side
    1,111.92x = 892,241.48
  5. Step 5: Solve for x
    x = 892,241.48/1,111.92
  6. Step 6: Final answer
    x = 802.43

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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.