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Finding the Fourth Proportional to 698.96, 963.71 and 512.38

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Solution

The fourth proportional to 698.96, 963.71 and 512.38 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.96 : 963.71 = 512.38 : x
  2. Step 2: Convert to fraction form
    698.96/963.71 = 512.38/x
  3. Step 3: Cross multiply
    698.96x = 963.71 × 512.38
  4. Step 4: Simplify right side
    698.96x = 493,783.76
  5. Step 5: Solve for x
    x = 493,783.76/698.96
  6. Step 6: Final answer
    x = 706.45

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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.