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Finding the Fourth Proportional to 997.50, 1,376.64 and 583.50

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Solution

The fourth proportional to 997.50, 1,376.64 and 583.50 is: 805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,376.64 = 583.50 : x
  2. Step 2: Convert to fraction form
    997.50/1,376.64 = 583.50/x
  3. Step 3: Cross multiply
    997.50x = 1,376.64 × 583.50
  4. Step 4: Simplify right side
    997.50x = 803,269.44
  5. Step 5: Solve for x
    x = 803,269.44/997.50
  6. Step 6: Final answer
    x = 805.28

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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.