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Finding the Fourth Proportional to 1,234.92, 1,852.66 and 504.58

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Solution

The fourth proportional to 1,234.92, 1,852.66 and 504.58 is: 756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.92 : 1,852.66 = 504.58 : x
  2. Step 2: Convert to fraction form
    1,234.92/1,852.66 = 504.58/x
  3. Step 3: Cross multiply
    1,234.92x = 1,852.66 × 504.58
  4. Step 4: Simplify right side
    1,234.92x = 934,815.18
  5. Step 5: Solve for x
    x = 934,815.18/1,234.92
  6. Step 6: Final answer
    x = 756.98

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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.