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Finding the Fourth Proportional to 972.98, 1,459.41 and 395.84

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Solution

The fourth proportional to 972.98, 1,459.41 and 395.84 is: 593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.98 : 1,459.41 = 395.84 : x
  2. Step 2: Convert to fraction form
    972.98/1,459.41 = 395.84/x
  3. Step 3: Cross multiply
    972.98x = 1,459.41 × 395.84
  4. Step 4: Simplify right side
    972.98x = 577,692.85
  5. Step 5: Solve for x
    x = 577,692.85/972.98
  6. Step 6: Final answer
    x = 593.74

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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.