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Finding the Fourth Proportional to 746.50, 1,030.26 and 451.66

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Solution

The fourth proportional to 746.50, 1,030.26 and 451.66 is: 623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.50 : 1,030.26 = 451.66 : x
  2. Step 2: Convert to fraction form
    746.50/1,030.26 = 451.66/x
  3. Step 3: Cross multiply
    746.50x = 1,030.26 × 451.66
  4. Step 4: Simplify right side
    746.50x = 465,327.23
  5. Step 5: Solve for x
    x = 465,327.23/746.50
  6. Step 6: Final answer
    x = 623.35

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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.