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Finding the Fourth Proportional to 633.74, 953.58 and 524.84

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Solution

The fourth proportional to 633.74, 953.58 and 524.84 is: 789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.74 : 953.58 = 524.84 : x
  2. Step 2: Convert to fraction form
    633.74/953.58 = 524.84/x
  3. Step 3: Cross multiply
    633.74x = 953.58 × 524.84
  4. Step 4: Simplify right side
    633.74x = 500,476.93
  5. Step 5: Solve for x
    x = 500,476.93/633.74
  6. Step 6: Final answer
    x = 789.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.