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Finding the Fourth Proportional to 866.94, 1,298.70 and 455.46

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Solution

The fourth proportional to 866.94, 1,298.70 and 455.46 is: 682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.94 : 1,298.70 = 455.46 : x
  2. Step 2: Convert to fraction form
    866.94/1,298.70 = 455.46/x
  3. Step 3: Cross multiply
    866.94x = 1,298.70 × 455.46
  4. Step 4: Simplify right side
    866.94x = 591,505.90
  5. Step 5: Solve for x
    x = 591,505.90/866.94
  6. Step 6: Final answer
    x = 682.29

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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.