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Finding the Fourth Proportional to 1,278.35, 1,916.92 and 730.38

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Solution

The fourth proportional to 1,278.35, 1,916.92 and 730.38 is: 1,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.35 : 1,916.92 = 730.38 : x
  2. Step 2: Convert to fraction form
    1,278.35/1,916.92 = 730.38/x
  3. Step 3: Cross multiply
    1,278.35x = 1,916.92 × 730.38
  4. Step 4: Simplify right side
    1,278.35x = 1,400,084.02
  5. Step 5: Solve for x
    x = 1,400,084.02/1,278.35
  6. Step 6: Final answer
    x = 1,095.23

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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.