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Finding the Fourth Proportional to 988.85, 1,483.28 and 258.42

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Solution

The fourth proportional to 988.85, 1,483.28 and 258.42 is: 387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.85 : 1,483.28 = 258.42 : x
  2. Step 2: Convert to fraction form
    988.85/1,483.28 = 258.42/x
  3. Step 3: Cross multiply
    988.85x = 1,483.28 × 258.42
  4. Step 4: Simplify right side
    988.85x = 383,307.93
  5. Step 5: Solve for x
    x = 383,307.93/988.85
  6. Step 6: Final answer
    x = 387.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.