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Finding the Fourth Proportional to 1,310.96, 1,966.26 and 337.07

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Solution

The fourth proportional to 1,310.96, 1,966.26 and 337.07 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.96 : 1,966.26 = 337.07 : x
  2. Step 2: Convert to fraction form
    1,310.96/1,966.26 = 337.07/x
  3. Step 3: Cross multiply
    1,310.96x = 1,966.26 × 337.07
  4. Step 4: Simplify right side
    1,310.96x = 662,767.26
  5. Step 5: Solve for x
    x = 662,767.26/1,310.96
  6. Step 6: Final answer
    x = 505.56

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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.