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Finding the Fourth Proportional to 703.57, 1,054.84 and 356.75

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Solution

The fourth proportional to 703.57, 1,054.84 and 356.75 is: 534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.57 : 1,054.84 = 356.75 : x
  2. Step 2: Convert to fraction form
    703.57/1,054.84 = 356.75/x
  3. Step 3: Cross multiply
    703.57x = 1,054.84 × 356.75
  4. Step 4: Simplify right side
    703.57x = 376,314.17
  5. Step 5: Solve for x
    x = 376,314.17/703.57
  6. Step 6: Final answer
    x = 534.86

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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.