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Finding the Fourth Proportional to 698.76, 963.87 and 436.32

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Solution

The fourth proportional to 698.76, 963.87 and 436.32 is: 601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 963.87 = 436.32 : x
  2. Step 2: Convert to fraction form
    698.76/963.87 = 436.32/x
  3. Step 3: Cross multiply
    698.76x = 963.87 × 436.32
  4. Step 4: Simplify right side
    698.76x = 420,555.76
  5. Step 5: Solve for x
    x = 420,555.76/698.76
  6. Step 6: Final answer
    x = 601.86

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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.