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Finding the Fourth Proportional to 1,452.84, 2,179.04 and 412.89

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Solution

The fourth proportional to 1,452.84, 2,179.04 and 412.89 is: 619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.84 : 2,179.04 = 412.89 : x
  2. Step 2: Convert to fraction form
    1,452.84/2,179.04 = 412.89/x
  3. Step 3: Cross multiply
    1,452.84x = 2,179.04 × 412.89
  4. Step 4: Simplify right side
    1,452.84x = 899,701.76
  5. Step 5: Solve for x
    x = 899,701.76/1,452.84
  6. Step 6: Final answer
    x = 619.27

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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.