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Finding the Fourth Proportional to 757, 1,044.61 and 420.90

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Solution

The fourth proportional to 757, 1,044.61 and 420.90 is: 580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    757 : 1,044.61 = 420.90 : x
  2. Step 2: Convert to fraction form
    757/1,044.61 = 420.90/x
  3. Step 3: Cross multiply
    757x = 1,044.61 × 420.90
  4. Step 4: Simplify right side
    757x = 439,676.35
  5. Step 5: Solve for x
    x = 439,676.35/757
  6. Step 6: Final answer
    x = 580.81

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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.