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Finding the Fourth Proportional to 846.62, 1,269.60 and 407.59

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Solution

The fourth proportional to 846.62, 1,269.60 and 407.59 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.62 : 1,269.60 = 407.59 : x
  2. Step 2: Convert to fraction form
    846.62/1,269.60 = 407.59/x
  3. Step 3: Cross multiply
    846.62x = 1,269.60 × 407.59
  4. Step 4: Simplify right side
    846.62x = 517,476.26
  5. Step 5: Solve for x
    x = 517,476.26/846.62
  6. Step 6: Final answer
    x = 611.23

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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.