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Finding the Fourth Proportional to 1,124.15, 1,686.22 and 302.36

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Solution

The fourth proportional to 1,124.15, 1,686.22 and 302.36 is: 453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.15 : 1,686.22 = 302.36 : x
  2. Step 2: Convert to fraction form
    1,124.15/1,686.22 = 302.36/x
  3. Step 3: Cross multiply
    1,124.15x = 1,686.22 × 302.36
  4. Step 4: Simplify right side
    1,124.15x = 509,836.29
  5. Step 5: Solve for x
    x = 509,836.29/1,124.15
  6. Step 6: Final answer
    x = 453.53

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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.