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Finding the Fourth Proportional to 1,451.85, 2,178.09 and 477.93

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Solution

The fourth proportional to 1,451.85, 2,178.09 and 477.93 is: 717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.85 : 2,178.09 = 477.93 : x
  2. Step 2: Convert to fraction form
    1,451.85/2,178.09 = 477.93/x
  3. Step 3: Cross multiply
    1,451.85x = 2,178.09 × 477.93
  4. Step 4: Simplify right side
    1,451.85x = 1,040,974.55
  5. Step 5: Solve for x
    x = 1,040,974.55/1,451.85
  6. Step 6: Final answer
    x = 717.00

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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.