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Finding the Fourth Proportional to 759.91, 1,048.67 and 410.60

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Solution

The fourth proportional to 759.91, 1,048.67 and 410.60 is: 566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.91 : 1,048.67 = 410.60 : x
  2. Step 2: Convert to fraction form
    759.91/1,048.67 = 410.60/x
  3. Step 3: Cross multiply
    759.91x = 1,048.67 × 410.60
  4. Step 4: Simplify right side
    759.91x = 430,579.69
  5. Step 5: Solve for x
    x = 430,579.69/759.91
  6. Step 6: Final answer
    x = 566.62

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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.