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Finding the Fourth Proportional to 1,278.10, 1,915.49 and 536.87

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Solution

The fourth proportional to 1,278.10, 1,915.49 and 536.87 is: 804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.10 : 1,915.49 = 536.87 : x
  2. Step 2: Convert to fraction form
    1,278.10/1,915.49 = 536.87/x
  3. Step 3: Cross multiply
    1,278.10x = 1,915.49 × 536.87
  4. Step 4: Simplify right side
    1,278.10x = 1,028,369.12
  5. Step 5: Solve for x
    x = 1,028,369.12/1,278.10
  6. Step 6: Final answer
    x = 804.61

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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.