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Finding the Fourth Proportional to 703.96, 1,056 and 241.77

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Solution

The fourth proportional to 703.96, 1,056 and 241.77 is: 362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.96 : 1,056 = 241.77 : x
  2. Step 2: Convert to fraction form
    703.96/1,056 = 241.77/x
  3. Step 3: Cross multiply
    703.96x = 1,056 × 241.77
  4. Step 4: Simplify right side
    703.96x = 255,309.12
  5. Step 5: Solve for x
    x = 255,309.12/703.96
  6. Step 6: Final answer
    x = 362.68

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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.