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Finding the Fourth Proportional to 746.86, 1,030.79 and 452.29

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Solution

The fourth proportional to 746.86, 1,030.79 and 452.29 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.86 : 1,030.79 = 452.29 : x
  2. Step 2: Convert to fraction form
    746.86/1,030.79 = 452.29/x
  3. Step 3: Cross multiply
    746.86x = 1,030.79 × 452.29
  4. Step 4: Simplify right side
    746.86x = 466,216.01
  5. Step 5: Solve for x
    x = 466,216.01/746.86
  6. Step 6: Final answer
    x = 624.23

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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.