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Finding the Fourth Proportional to 661.70, 913.11 and 514.46

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Solution

The fourth proportional to 661.70, 913.11 and 514.46 is: 709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.70 : 913.11 = 514.46 : x
  2. Step 2: Convert to fraction form
    661.70/913.11 = 514.46/x
  3. Step 3: Cross multiply
    661.70x = 913.11 × 514.46
  4. Step 4: Simplify right side
    661.70x = 469,758.57
  5. Step 5: Solve for x
    x = 469,758.57/661.70
  6. Step 6: Final answer
    x = 709.93

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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.