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Finding the Fourth Proportional to 1,111.41, 1,666.00 and 380.49

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Solution

The fourth proportional to 1,111.41, 1,666.00 and 380.49 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.41 : 1,666.00 = 380.49 : x
  2. Step 2: Convert to fraction form
    1,111.41/1,666.00 = 380.49/x
  3. Step 3: Cross multiply
    1,111.41x = 1,666.00 × 380.49
  4. Step 4: Simplify right side
    1,111.41x = 633,890.57
  5. Step 5: Solve for x
    x = 633,890.57/1,111.41
  6. Step 6: Final answer
    x = 570.35

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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.