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Finding the Fourth Proportional to 873.26, 1,308.87 and 410.75

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Solution

The fourth proportional to 873.26, 1,308.87 and 410.75 is: 615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.26 : 1,308.87 = 410.75 : x
  2. Step 2: Convert to fraction form
    873.26/1,308.87 = 410.75/x
  3. Step 3: Cross multiply
    873.26x = 1,308.87 × 410.75
  4. Step 4: Simplify right side
    873.26x = 537,611.81
  5. Step 5: Solve for x
    x = 537,611.81/873.26
  6. Step 6: Final answer
    x = 615.64

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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.