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Finding the Fourth Proportional to 633.56, 948.74 and 530.60

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Solution

The fourth proportional to 633.56, 948.74 and 530.60 is: 794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 948.74 = 530.60 : x
  2. Step 2: Convert to fraction form
    633.56/948.74 = 530.60/x
  3. Step 3: Cross multiply
    633.56x = 948.74 × 530.60
  4. Step 4: Simplify right side
    633.56x = 503,394.05
  5. Step 5: Solve for x
    x = 503,394.05/633.56
  6. Step 6: Final answer
    x = 794.55

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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.