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Finding the Fourth Proportional to 1,311.65, 1,966.96 and 531.45

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Solution

The fourth proportional to 1,311.65, 1,966.96 and 531.45 is: 796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.65 : 1,966.96 = 531.45 : x
  2. Step 2: Convert to fraction form
    1,311.65/1,966.96 = 531.45/x
  3. Step 3: Cross multiply
    1,311.65x = 1,966.96 × 531.45
  4. Step 4: Simplify right side
    1,311.65x = 1,045,328.40
  5. Step 5: Solve for x
    x = 1,045,328.40/1,311.65
  6. Step 6: Final answer
    x = 796.96

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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.