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Finding the Fourth Proportional to 1,234.85, 1,852.53 and 504.49

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Solution

The fourth proportional to 1,234.85, 1,852.53 and 504.49 is: 756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.85 : 1,852.53 = 504.49 : x
  2. Step 2: Convert to fraction form
    1,234.85/1,852.53 = 504.49/x
  3. Step 3: Cross multiply
    1,234.85x = 1,852.53 × 504.49
  4. Step 4: Simplify right side
    1,234.85x = 934,578.23
  5. Step 5: Solve for x
    x = 934,578.23/1,234.85
  6. Step 6: Final answer
    x = 756.83

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Double scale
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1.5x scale

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.