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Finding the Fourth Proportional to 1,278.57, 1,916.66 and 456.34

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Solution

The fourth proportional to 1,278.57, 1,916.66 and 456.34 is: 684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.57 : 1,916.66 = 456.34 : x
  2. Step 2: Convert to fraction form
    1,278.57/1,916.66 = 456.34/x
  3. Step 3: Cross multiply
    1,278.57x = 1,916.66 × 456.34
  4. Step 4: Simplify right side
    1,278.57x = 874,648.62
  5. Step 5: Solve for x
    x = 874,648.62/1,278.57
  6. Step 6: Final answer
    x = 684.08

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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.