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Finding the Fourth Proportional to 1,278.33, 1,917.57 and 353.87

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Solution

The fourth proportional to 1,278.33, 1,917.57 and 353.87 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.33 : 1,917.57 = 353.87 : x
  2. Step 2: Convert to fraction form
    1,278.33/1,917.57 = 353.87/x
  3. Step 3: Cross multiply
    1,278.33x = 1,917.57 × 353.87
  4. Step 4: Simplify right side
    1,278.33x = 678,569.43
  5. Step 5: Solve for x
    x = 678,569.43/1,278.33
  6. Step 6: Final answer
    x = 530.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.