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Finding the Fourth Proportional to 1,234.68, 1,852.38 and 504.12

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Solution

The fourth proportional to 1,234.68, 1,852.38 and 504.12 is: 756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.68 : 1,852.38 = 504.12 : x
  2. Step 2: Convert to fraction form
    1,234.68/1,852.38 = 504.12/x
  3. Step 3: Cross multiply
    1,234.68x = 1,852.38 × 504.12
  4. Step 4: Simplify right side
    1,234.68x = 933,821.81
  5. Step 5: Solve for x
    x = 933,821.81/1,234.68
  6. Step 6: Final answer
    x = 756.33

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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.