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Finding the Fourth Proportional to 1,234.05, 1,851.30 and 412.17

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Solution

The fourth proportional to 1,234.05, 1,851.30 and 412.17 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.05 : 1,851.30 = 412.17 : x
  2. Step 2: Convert to fraction form
    1,234.05/1,851.30 = 412.17/x
  3. Step 3: Cross multiply
    1,234.05x = 1,851.30 × 412.17
  4. Step 4: Simplify right side
    1,234.05x = 763,050.32
  5. Step 5: Solve for x
    x = 763,050.32/1,234.05
  6. Step 6: Final answer
    x = 618.33

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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.