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Finding the Fourth Proportional to 1,278.96, 1,916.58 and 547.50

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Solution

The fourth proportional to 1,278.96, 1,916.58 and 547.50 is: 820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.96 : 1,916.58 = 547.50 : x
  2. Step 2: Convert to fraction form
    1,278.96/1,916.58 = 547.50/x
  3. Step 3: Cross multiply
    1,278.96x = 1,916.58 × 547.50
  4. Step 4: Simplify right side
    1,278.96x = 1,049,327.55
  5. Step 5: Solve for x
    x = 1,049,327.55/1,278.96
  6. Step 6: Final answer
    x = 820.45

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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.