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Finding the Fourth Proportional to 1,024.06, 1,412.88 and 604.55

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Solution

The fourth proportional to 1,024.06, 1,412.88 and 604.55 is: 834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.06 : 1,412.88 = 604.55 : x
  2. Step 2: Convert to fraction form
    1,024.06/1,412.88 = 604.55/x
  3. Step 3: Cross multiply
    1,024.06x = 1,412.88 × 604.55
  4. Step 4: Simplify right side
    1,024.06x = 854,158.88
  5. Step 5: Solve for x
    x = 854,158.88/1,024.06
  6. Step 6: Final answer
    x = 834.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.