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Finding the Fourth Proportional to 703.56, 1,054.08 and 378.18

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Solution

The fourth proportional to 703.56, 1,054.08 and 378.18 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.56 : 1,054.08 = 378.18 : x
  2. Step 2: Convert to fraction form
    703.56/1,054.08 = 378.18/x
  3. Step 3: Cross multiply
    703.56x = 1,054.08 × 378.18
  4. Step 4: Simplify right side
    703.56x = 398,631.97
  5. Step 5: Solve for x
    x = 398,631.97/703.56
  6. Step 6: Final answer
    x = 566.59

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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.