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Finding the Fourth Proportional to 1,311.07, 1,966.61 and 488.38

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Solution

The fourth proportional to 1,311.07, 1,966.61 and 488.38 is: 732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.07 : 1,966.61 = 488.38 : x
  2. Step 2: Convert to fraction form
    1,311.07/1,966.61 = 488.38/x
  3. Step 3: Cross multiply
    1,311.07x = 1,966.61 × 488.38
  4. Step 4: Simplify right side
    1,311.07x = 960,440.72
  5. Step 5: Solve for x
    x = 960,440.72/1,311.07
  6. Step 6: Final answer
    x = 732.57

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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.