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Finding the Fourth Proportional to 873.25, 1,309.45 and 410.64

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Solution

The fourth proportional to 873.25, 1,309.45 and 410.64 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.25 : 1,309.45 = 410.64 : x
  2. Step 2: Convert to fraction form
    873.25/1,309.45 = 410.64/x
  3. Step 3: Cross multiply
    873.25x = 1,309.45 × 410.64
  4. Step 4: Simplify right side
    873.25x = 537,706.00
  5. Step 5: Solve for x
    x = 537,706.00/873.25
  6. Step 6: Final answer
    x = 615.75

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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.