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Finding the Fourth Proportional to 846.04, 1,167.46 and 496.60

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Solution

The fourth proportional to 846.04, 1,167.46 and 496.60 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.04 : 1,167.46 = 496.60 : x
  2. Step 2: Convert to fraction form
    846.04/1,167.46 = 496.60/x
  3. Step 3: Cross multiply
    846.04x = 1,167.46 × 496.60
  4. Step 4: Simplify right side
    846.04x = 579,760.64
  5. Step 5: Solve for x
    x = 579,760.64/846.04
  6. Step 6: Final answer
    x = 685.26

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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.