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Finding the Fourth Proportional to 988.57, 1,482.86 and 258.15

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Solution

The fourth proportional to 988.57, 1,482.86 and 258.15 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.57 : 1,482.86 = 258.15 : x
  2. Step 2: Convert to fraction form
    988.57/1,482.86 = 258.15/x
  3. Step 3: Cross multiply
    988.57x = 1,482.86 × 258.15
  4. Step 4: Simplify right side
    988.57x = 382,805.06
  5. Step 5: Solve for x
    x = 382,805.06/988.57
  6. Step 6: Final answer
    x = 387.23

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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.