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Finding the Fourth Proportional to 1,277.54, 1,916.32 and 412.46

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Solution

The fourth proportional to 1,277.54, 1,916.32 and 412.46 is: 618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.54 : 1,916.32 = 412.46 : x
  2. Step 2: Convert to fraction form
    1,277.54/1,916.32 = 412.46/x
  3. Step 3: Cross multiply
    1,277.54x = 1,916.32 × 412.46
  4. Step 4: Simplify right side
    1,277.54x = 790,405.35
  5. Step 5: Solve for x
    x = 790,405.35/1,277.54
  6. Step 6: Final answer
    x = 618.69

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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.