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Finding the Fourth Proportional to 620.54, 930.92 and 506.00

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Solution

The fourth proportional to 620.54, 930.92 and 506.00 is: 759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.54 : 930.92 = 506.00 : x
  2. Step 2: Convert to fraction form
    620.54/930.92 = 506.00/x
  3. Step 3: Cross multiply
    620.54x = 930.92 × 506.00
  4. Step 4: Simplify right side
    620.54x = 471,038.34
  5. Step 5: Solve for x
    x = 471,038.34/620.54
  6. Step 6: Final answer
    x = 759.08

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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.