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Finding the Fourth Proportional to 1,278.82, 1,918.49 and 457.07

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Solution

The fourth proportional to 1,278.82, 1,918.49 and 457.07 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.82 : 1,918.49 = 457.07 : x
  2. Step 2: Convert to fraction form
    1,278.82/1,918.49 = 457.07/x
  3. Step 3: Cross multiply
    1,278.82x = 1,918.49 × 457.07
  4. Step 4: Simplify right side
    1,278.82x = 876,881.94
  5. Step 5: Solve for x
    x = 876,881.94/1,278.82
  6. Step 6: Final answer
    x = 685.70

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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.