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Finding the Fourth Proportional to 746.89, 1,030.01 and 467.03

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Solution

The fourth proportional to 746.89, 1,030.01 and 467.03 is: 644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.89 : 1,030.01 = 467.03 : x
  2. Step 2: Convert to fraction form
    746.89/1,030.01 = 467.03/x
  3. Step 3: Cross multiply
    746.89x = 1,030.01 × 467.03
  4. Step 4: Simplify right side
    746.89x = 481,049.31
  5. Step 5: Solve for x
    x = 481,049.31/746.89
  6. Step 6: Final answer
    x = 644.07

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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.