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Finding the Fourth Proportional to 873.31, 1,309.41 and 410.89

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Solution

The fourth proportional to 873.31, 1,309.41 and 410.89 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.31 : 1,309.41 = 410.89 : x
  2. Step 2: Convert to fraction form
    873.31/1,309.41 = 410.89/x
  3. Step 3: Cross multiply
    873.31x = 1,309.41 × 410.89
  4. Step 4: Simplify right side
    873.31x = 538,023.47
  5. Step 5: Solve for x
    x = 538,023.47/873.31
  6. Step 6: Final answer
    x = 616.07

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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.