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Finding the Fourth Proportional to 845.69, 1,265.35 and 499.21

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Solution

The fourth proportional to 845.69, 1,265.35 and 499.21 is: 746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.69 : 1,265.35 = 499.21 : x
  2. Step 2: Convert to fraction form
    845.69/1,265.35 = 499.21/x
  3. Step 3: Cross multiply
    845.69x = 1,265.35 × 499.21
  4. Step 4: Simplify right side
    845.69x = 631,676.04
  5. Step 5: Solve for x
    x = 631,676.04/845.69
  6. Step 6: Final answer
    x = 746.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.