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Finding the Fourth Proportional to 704.75, 972.98 and 480.95

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Solution

The fourth proportional to 704.75, 972.98 and 480.95 is: 664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 972.98 = 480.95 : x
  2. Step 2: Convert to fraction form
    704.75/972.98 = 480.95/x
  3. Step 3: Cross multiply
    704.75x = 972.98 × 480.95
  4. Step 4: Simplify right side
    704.75x = 467,951.07
  5. Step 5: Solve for x
    x = 467,951.07/704.75
  6. Step 6: Final answer
    x = 664.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.