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Finding the Fourth Proportional to 703.98, 1,056.15 and 271.17

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Solution

The fourth proportional to 703.98, 1,056.15 and 271.17 is: 406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 1,056.15 = 271.17 : x
  2. Step 2: Convert to fraction form
    703.98/1,056.15 = 271.17/x
  3. Step 3: Cross multiply
    703.98x = 1,056.15 × 271.17
  4. Step 4: Simplify right side
    703.98x = 286,396.20
  5. Step 5: Solve for x
    x = 286,396.20/703.98
  6. Step 6: Final answer
    x = 406.82

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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.