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Finding the Fourth Proportional to 1,310.99, 1,966.41 and 337.14

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Solution

The fourth proportional to 1,310.99, 1,966.41 and 337.14 is: 505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.99 : 1,966.41 = 337.14 : x
  2. Step 2: Convert to fraction form
    1,310.99/1,966.41 = 337.14/x
  3. Step 3: Cross multiply
    1,310.99x = 1,966.41 × 337.14
  4. Step 4: Simplify right side
    1,310.99x = 662,955.47
  5. Step 5: Solve for x
    x = 662,955.47/1,310.99
  6. Step 6: Final answer
    x = 505.69

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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.