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Finding the Fourth Proportional to 703.45, 1,054.38 and 425.87

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Solution

The fourth proportional to 703.45, 1,054.38 and 425.87 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.45 : 1,054.38 = 425.87 : x
  2. Step 2: Convert to fraction form
    703.45/1,054.38 = 425.87/x
  3. Step 3: Cross multiply
    703.45x = 1,054.38 × 425.87
  4. Step 4: Simplify right side
    703.45x = 449,028.81
  5. Step 5: Solve for x
    x = 449,028.81/703.45
  6. Step 6: Final answer
    x = 638.32

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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.