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Finding the Fourth Proportional to 1,214.45, 1,821.69 and 666.34

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Solution

The fourth proportional to 1,214.45, 1,821.69 and 666.34 is: 999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.45 : 1,821.69 = 666.34 : x
  2. Step 2: Convert to fraction form
    1,214.45/1,821.69 = 666.34/x
  3. Step 3: Cross multiply
    1,214.45x = 1,821.69 × 666.34
  4. Step 4: Simplify right side
    1,214.45x = 1,213,864.91
  5. Step 5: Solve for x
    x = 1,213,864.91/1,214.45
  6. Step 6: Final answer
    x = 999.52

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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.