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Finding the Fourth Proportional to 697.71, 962.97 and 461.67

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Solution

The fourth proportional to 697.71, 962.97 and 461.67 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 962.97 = 461.67 : x
  2. Step 2: Convert to fraction form
    697.71/962.97 = 461.67/x
  3. Step 3: Cross multiply
    697.71x = 962.97 × 461.67
  4. Step 4: Simplify right side
    697.71x = 444,570.80
  5. Step 5: Solve for x
    x = 444,570.80/697.71
  6. Step 6: Final answer
    x = 637.19

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1.5x scale

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.