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Finding the Fourth Proportional to 1,278.29, 1,913.76 and 749.60

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Solution

The fourth proportional to 1,278.29, 1,913.76 and 749.60 is: 1,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.29 : 1,913.76 = 749.60 : x
  2. Step 2: Convert to fraction form
    1,278.29/1,913.76 = 749.60/x
  3. Step 3: Cross multiply
    1,278.29x = 1,913.76 × 749.60
  4. Step 4: Simplify right side
    1,278.29x = 1,434,549.18
  5. Step 5: Solve for x
    x = 1,434,549.18/1,278.29
  6. Step 6: Final answer
    x = 1,122.24

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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.