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Finding the Fourth Proportional to 1,113.27, 1,668.92 and 382.34

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Solution

The fourth proportional to 1,113.27, 1,668.92 and 382.34 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.27 : 1,668.92 = 382.34 : x
  2. Step 2: Convert to fraction form
    1,113.27/1,668.92 = 382.34/x
  3. Step 3: Cross multiply
    1,113.27x = 1,668.92 × 382.34
  4. Step 4: Simplify right side
    1,113.27x = 638,084.62
  5. Step 5: Solve for x
    x = 638,084.62/1,113.27
  6. Step 6: Final answer
    x = 573.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.