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Finding the Fourth Proportional to 1,421.82, 2,133.03 and 556.20

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Solution

The fourth proportional to 1,421.82, 2,133.03 and 556.20 is: 834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.82 : 2,133.03 = 556.20 : x
  2. Step 2: Convert to fraction form
    1,421.82/2,133.03 = 556.20/x
  3. Step 3: Cross multiply
    1,421.82x = 2,133.03 × 556.20
  4. Step 4: Simplify right side
    1,421.82x = 1,186,391.29
  5. Step 5: Solve for x
    x = 1,186,391.29/1,421.82
  6. Step 6: Final answer
    x = 834.42

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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.