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Finding the Fourth Proportional to 873.47, 1,309.25 and 410.96

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Solution

The fourth proportional to 873.47, 1,309.25 and 410.96 is: 615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.47 : 1,309.25 = 410.96 : x
  2. Step 2: Convert to fraction form
    873.47/1,309.25 = 410.96/x
  3. Step 3: Cross multiply
    873.47x = 1,309.25 × 410.96
  4. Step 4: Simplify right side
    873.47x = 538,040.78
  5. Step 5: Solve for x
    x = 538,040.78/873.47
  6. Step 6: Final answer
    x = 615.98

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Why These Related Problems?

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