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Finding the Fourth Proportional to 966.85, 1,450.14 and 317.50

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Solution

The fourth proportional to 966.85, 1,450.14 and 317.50 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.85 : 1,450.14 = 317.50 : x
  2. Step 2: Convert to fraction form
    966.85/1,450.14 = 317.50/x
  3. Step 3: Cross multiply
    966.85x = 1,450.14 × 317.50
  4. Step 4: Simplify right side
    966.85x = 460,419.45
  5. Step 5: Solve for x
    x = 460,419.45/966.85
  6. Step 6: Final answer
    x = 476.21

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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.