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Finding the Fourth Proportional to 1,246, 1,719.34 and 686.44

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Solution

The fourth proportional to 1,246, 1,719.34 and 686.44 is: 947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246 : 1,719.34 = 686.44 : x
  2. Step 2: Convert to fraction form
    1,246/1,719.34 = 686.44/x
  3. Step 3: Cross multiply
    1,246x = 1,719.34 × 686.44
  4. Step 4: Simplify right side
    1,246x = 1,180,223.75
  5. Step 5: Solve for x
    x = 1,180,223.75/1,246
  6. Step 6: Final answer
    x = 947.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.