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Finding the Fourth Proportional to 988.20, 1,482.29 and 257.77

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Solution

The fourth proportional to 988.20, 1,482.29 and 257.77 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.20 : 1,482.29 = 257.77 : x
  2. Step 2: Convert to fraction form
    988.20/1,482.29 = 257.77/x
  3. Step 3: Cross multiply
    988.20x = 1,482.29 × 257.77
  4. Step 4: Simplify right side
    988.20x = 382,089.89
  5. Step 5: Solve for x
    x = 382,089.89/988.20
  6. Step 6: Final answer
    x = 386.65

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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.