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Finding the Fourth Proportional to 697.88, 963 and 432.23

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Solution

The fourth proportional to 697.88, 963 and 432.23 is: 596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 963 = 432.23 : x
  2. Step 2: Convert to fraction form
    697.88/963 = 432.23/x
  3. Step 3: Cross multiply
    697.88x = 963 × 432.23
  4. Step 4: Simplify right side
    697.88x = 416,237.49
  5. Step 5: Solve for x
    x = 416,237.49/697.88
  6. Step 6: Final answer
    x = 596.43

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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.