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Finding the Fourth Proportional to 746.82, 1,030.86 and 599.94

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Solution

The fourth proportional to 746.82, 1,030.86 and 599.94 is: 828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.82 : 1,030.86 = 599.94 : x
  2. Step 2: Convert to fraction form
    746.82/1,030.86 = 599.94/x
  3. Step 3: Cross multiply
    746.82x = 1,030.86 × 599.94
  4. Step 4: Simplify right side
    746.82x = 618,454.15
  5. Step 5: Solve for x
    x = 618,454.15/746.82
  6. Step 6: Final answer
    x = 828.12

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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.