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Finding the Fourth Proportional to 746.57, 1,030.74 and 485.33

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Solution

The fourth proportional to 746.57, 1,030.74 and 485.33 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.57 : 1,030.74 = 485.33 : x
  2. Step 2: Convert to fraction form
    746.57/1,030.74 = 485.33/x
  3. Step 3: Cross multiply
    746.57x = 1,030.74 × 485.33
  4. Step 4: Simplify right side
    746.57x = 500,249.04
  5. Step 5: Solve for x
    x = 500,249.04/746.57
  6. Step 6: Final answer
    x = 670.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.