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Finding the Fourth Proportional to 703.62, 1,054.64 and 264.45

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Solution

The fourth proportional to 703.62, 1,054.64 and 264.45 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 1,054.64 = 264.45 : x
  2. Step 2: Convert to fraction form
    703.62/1,054.64 = 264.45/x
  3. Step 3: Cross multiply
    703.62x = 1,054.64 × 264.45
  4. Step 4: Simplify right side
    703.62x = 278,898.23
  5. Step 5: Solve for x
    x = 278,898.23/703.62
  6. Step 6: Final answer
    x = 396.38

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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.