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Finding the Fourth Proportional to 873, 1,309.07 and 410.39

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Solution

The fourth proportional to 873, 1,309.07 and 410.39 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,309.07 = 410.39 : x
  2. Step 2: Convert to fraction form
    873/1,309.07 = 410.39/x
  3. Step 3: Cross multiply
    873x = 1,309.07 × 410.39
  4. Step 4: Simplify right side
    873x = 537,228.63
  5. Step 5: Solve for x
    x = 537,228.63/873
  6. Step 6: Final answer
    x = 615.38

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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.