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Finding the Fourth Proportional to 742.72, 1,025.34 and 693.64

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Solution

The fourth proportional to 742.72, 1,025.34 and 693.64 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.72 : 1,025.34 = 693.64 : x
  2. Step 2: Convert to fraction form
    742.72/1,025.34 = 693.64/x
  3. Step 3: Cross multiply
    742.72x = 1,025.34 × 693.64
  4. Step 4: Simplify right side
    742.72x = 711,216.84
  5. Step 5: Solve for x
    x = 711,216.84/742.72
  6. Step 6: Final answer
    x = 957.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.