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Finding the Fourth Proportional to 966.50, 1,449.75 and 282.50

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Solution

The fourth proportional to 966.50, 1,449.75 and 282.50 is: 423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.50 : 1,449.75 = 282.50 : x
  2. Step 2: Convert to fraction form
    966.50/1,449.75 = 282.50/x
  3. Step 3: Cross multiply
    966.50x = 1,449.75 × 282.50
  4. Step 4: Simplify right side
    966.50x = 409,554.38
  5. Step 5: Solve for x
    x = 409,554.38/966.50
  6. Step 6: Final answer
    x = 423.75

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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.