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Finding the Fourth Proportional to 712.48, 1,066.02 and 640.54

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Solution

The fourth proportional to 712.48, 1,066.02 and 640.54 is: 958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.48 : 1,066.02 = 640.54 : x
  2. Step 2: Convert to fraction form
    712.48/1,066.02 = 640.54/x
  3. Step 3: Cross multiply
    712.48x = 1,066.02 × 640.54
  4. Step 4: Simplify right side
    712.48x = 682,828.45
  5. Step 5: Solve for x
    x = 682,828.45/712.48
  6. Step 6: Final answer
    x = 958.38

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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.