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Finding the Fourth Proportional to 1,137.92, 1,706.68 and 304.99

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Solution

The fourth proportional to 1,137.92, 1,706.68 and 304.99 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.92 : 1,706.68 = 304.99 : x
  2. Step 2: Convert to fraction form
    1,137.92/1,706.68 = 304.99/x
  3. Step 3: Cross multiply
    1,137.92x = 1,706.68 × 304.99
  4. Step 4: Simplify right side
    1,137.92x = 520,520.33
  5. Step 5: Solve for x
    x = 520,520.33/1,137.92
  6. Step 6: Final answer
    x = 457.43

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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.