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Finding the Fourth Proportional to 988.17, 1,482.85 and 395.09

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Solution

The fourth proportional to 988.17, 1,482.85 and 395.09 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.17 : 1,482.85 = 395.09 : x
  2. Step 2: Convert to fraction form
    988.17/1,482.85 = 395.09/x
  3. Step 3: Cross multiply
    988.17x = 1,482.85 × 395.09
  4. Step 4: Simplify right side
    988.17x = 585,856.98
  5. Step 5: Solve for x
    x = 585,856.98/988.17
  6. Step 6: Final answer
    x = 592.87

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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.