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Finding the Fourth Proportional to 1,451.99, 2,178.28 and 527.58

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Solution

The fourth proportional to 1,451.99, 2,178.28 and 527.58 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.99 : 2,178.28 = 527.58 : x
  2. Step 2: Convert to fraction form
    1,451.99/2,178.28 = 527.58/x
  3. Step 3: Cross multiply
    1,451.99x = 2,178.28 × 527.58
  4. Step 4: Simplify right side
    1,451.99x = 1,149,214.65
  5. Step 5: Solve for x
    x = 1,149,214.65/1,451.99
  6. Step 6: Final answer
    x = 791.47

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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.