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Finding the Fourth Proportional to 703.37, 1,055.21 and 264.76

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Solution

The fourth proportional to 703.37, 1,055.21 and 264.76 is: 397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.37 : 1,055.21 = 264.76 : x
  2. Step 2: Convert to fraction form
    703.37/1,055.21 = 264.76/x
  3. Step 3: Cross multiply
    703.37x = 1,055.21 × 264.76
  4. Step 4: Simplify right side
    703.37x = 279,373.44
  5. Step 5: Solve for x
    x = 279,373.44/703.37
  6. Step 6: Final answer
    x = 397.19

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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.