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Finding the Fourth Proportional to 1,299.47, 1,949.54 and 375.10

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Solution

The fourth proportional to 1,299.47, 1,949.54 and 375.10 is: 562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.47 : 1,949.54 = 375.10 : x
  2. Step 2: Convert to fraction form
    1,299.47/1,949.54 = 375.10/x
  3. Step 3: Cross multiply
    1,299.47x = 1,949.54 × 375.10
  4. Step 4: Simplify right side
    1,299.47x = 731,260.83
  5. Step 5: Solve for x
    x = 731,260.83/1,299.47
  6. Step 6: Final answer
    x = 562.74

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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.