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Finding the Fourth Proportional to 1,124.22, 1,686.26 and 302.48

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Solution

The fourth proportional to 1,124.22, 1,686.26 and 302.48 is: 453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.22 : 1,686.26 = 302.48 : x
  2. Step 2: Convert to fraction form
    1,124.22/1,686.26 = 302.48/x
  3. Step 3: Cross multiply
    1,124.22x = 1,686.26 × 302.48
  4. Step 4: Simplify right side
    1,124.22x = 510,049.98
  5. Step 5: Solve for x
    x = 510,049.98/1,124.22
  6. Step 6: Final answer
    x = 453.69

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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.