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Finding the Fourth Proportional to 633.35, 948.65 and 616.07

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Solution

The fourth proportional to 633.35, 948.65 and 616.07 is: 922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.35 : 948.65 = 616.07 : x
  2. Step 2: Convert to fraction form
    633.35/948.65 = 616.07/x
  3. Step 3: Cross multiply
    633.35x = 948.65 × 616.07
  4. Step 4: Simplify right side
    633.35x = 584,434.10
  5. Step 5: Solve for x
    x = 584,434.10/633.35
  6. Step 6: Final answer
    x = 922.76

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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.