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Finding the Fourth Proportional to 997.41, 1,492.46 and 586.74

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Solution

The fourth proportional to 997.41, 1,492.46 and 586.74 is: 877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.41 : 1,492.46 = 586.74 : x
  2. Step 2: Convert to fraction form
    997.41/1,492.46 = 586.74/x
  3. Step 3: Cross multiply
    997.41x = 1,492.46 × 586.74
  4. Step 4: Simplify right side
    997.41x = 875,679.98
  5. Step 5: Solve for x
    x = 875,679.98/997.41
  6. Step 6: Final answer
    x = 877.96

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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.