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Finding the Fourth Proportional to 704.43, 972.81 and 580.50

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Solution

The fourth proportional to 704.43, 972.81 and 580.50 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.43 : 972.81 = 580.50 : x
  2. Step 2: Convert to fraction form
    704.43/972.81 = 580.50/x
  3. Step 3: Cross multiply
    704.43x = 972.81 × 580.50
  4. Step 4: Simplify right side
    704.43x = 564,716.21
  5. Step 5: Solve for x
    x = 564,716.21/704.43
  6. Step 6: Final answer
    x = 801.66

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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.