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Finding the Fourth Proportional to 620.95, 931.60 and 506.47

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Solution

The fourth proportional to 620.95, 931.60 and 506.47 is: 759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.95 : 931.60 = 506.47 : x
  2. Step 2: Convert to fraction form
    620.95/931.60 = 506.47/x
  3. Step 3: Cross multiply
    620.95x = 931.60 × 506.47
  4. Step 4: Simplify right side
    620.95x = 471,827.25
  5. Step 5: Solve for x
    x = 471,827.25/620.95
  6. Step 6: Final answer
    x = 759.85

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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.