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Finding the Fourth Proportional to 746.91, 1,030.70 and 452.12

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Solution

The fourth proportional to 746.91, 1,030.70 and 452.12 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.91 : 1,030.70 = 452.12 : x
  2. Step 2: Convert to fraction form
    746.91/1,030.70 = 452.12/x
  3. Step 3: Cross multiply
    746.91x = 1,030.70 × 452.12
  4. Step 4: Simplify right side
    746.91x = 465,996.06
  5. Step 5: Solve for x
    x = 465,996.06/746.91
  6. Step 6: Final answer
    x = 623.90

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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.