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Finding the Fourth Proportional to 1,214.08, 1,820 and 444

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Solution

The fourth proportional to 1,214.08, 1,820 and 444 is: 665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.08 : 1,820 = 444 : x
  2. Step 2: Convert to fraction form
    1,214.08/1,820 = 444/x
  3. Step 3: Cross multiply
    1,214.08x = 1,820 × 444
  4. Step 4: Simplify right side
    1,214.08x = 808,080
  5. Step 5: Solve for x
    x = 808,080/1,214.08
  6. Step 6: Final answer
    x = 665.59

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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.