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Finding the Fourth Proportional to 943.95, 1,415.49 and 456.46

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Solution

The fourth proportional to 943.95, 1,415.49 and 456.46 is: 684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.95 : 1,415.49 = 456.46 : x
  2. Step 2: Convert to fraction form
    943.95/1,415.49 = 456.46/x
  3. Step 3: Cross multiply
    943.95x = 1,415.49 × 456.46
  4. Step 4: Simplify right side
    943.95x = 646,114.57
  5. Step 5: Solve for x
    x = 646,114.57/943.95
  6. Step 6: Final answer
    x = 684.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.