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Finding the Fourth Proportional to 873.41, 1,309.87 and 410.95

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Solution

The fourth proportional to 873.41, 1,309.87 and 410.95 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.41 : 1,309.87 = 410.95 : x
  2. Step 2: Convert to fraction form
    873.41/1,309.87 = 410.95/x
  3. Step 3: Cross multiply
    873.41x = 1,309.87 × 410.95
  4. Step 4: Simplify right side
    873.41x = 538,291.08
  5. Step 5: Solve for x
    x = 538,291.08/873.41
  6. Step 6: Final answer
    x = 616.31

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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.