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Finding the Fourth Proportional to 1,504.57, 2,256.97 and 464.57

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Solution

The fourth proportional to 1,504.57, 2,256.97 and 464.57 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.57 : 2,256.97 = 464.57 : x
  2. Step 2: Convert to fraction form
    1,504.57/2,256.97 = 464.57/x
  3. Step 3: Cross multiply
    1,504.57x = 2,256.97 × 464.57
  4. Step 4: Simplify right side
    1,504.57x = 1,048,508.11
  5. Step 5: Solve for x
    x = 1,048,508.11/1,504.57
  6. Step 6: Final answer
    x = 696.88

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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.