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Finding the Fourth Proportional to 703.25, 1,054.12 and 356.84

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Solution

The fourth proportional to 703.25, 1,054.12 and 356.84 is: 534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,054.12 = 356.84 : x
  2. Step 2: Convert to fraction form
    703.25/1,054.12 = 356.84/x
  3. Step 3: Cross multiply
    703.25x = 1,054.12 × 356.84
  4. Step 4: Simplify right side
    703.25x = 376,146.02
  5. Step 5: Solve for x
    x = 376,146.02/703.25
  6. Step 6: Final answer
    x = 534.87

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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.