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Finding the Fourth Proportional to 988.68, 1,482.92 and 258.17

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Solution

The fourth proportional to 988.68, 1,482.92 and 258.17 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.68 : 1,482.92 = 258.17 : x
  2. Step 2: Convert to fraction form
    988.68/1,482.92 = 258.17/x
  3. Step 3: Cross multiply
    988.68x = 1,482.92 × 258.17
  4. Step 4: Simplify right side
    988.68x = 382,839.17
  5. Step 5: Solve for x
    x = 382,839.17/988.68
  6. Step 6: Final answer
    x = 387.22

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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.