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Finding the Fourth Proportional to 645.59, 960.96 and 615.71

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Solution

The fourth proportional to 645.59, 960.96 and 615.71 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.59 : 960.96 = 615.71 : x
  2. Step 2: Convert to fraction form
    645.59/960.96 = 615.71/x
  3. Step 3: Cross multiply
    645.59x = 960.96 × 615.71
  4. Step 4: Simplify right side
    645.59x = 591,667.88
  5. Step 5: Solve for x
    x = 591,667.88/645.59
  6. Step 6: Final answer
    x = 916.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.