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Finding the Fourth Proportional to 746.91, 1,030.61 and 415.33

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Solution

The fourth proportional to 746.91, 1,030.61 and 415.33 is: 573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.91 : 1,030.61 = 415.33 : x
  2. Step 2: Convert to fraction form
    746.91/1,030.61 = 415.33/x
  3. Step 3: Cross multiply
    746.91x = 1,030.61 × 415.33
  4. Step 4: Simplify right side
    746.91x = 428,043.25
  5. Step 5: Solve for x
    x = 428,043.25/746.91
  6. Step 6: Final answer
    x = 573.09

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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.