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Finding the Fourth Proportional to 1,504.71, 2,256.24 and 464.43

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Solution

The fourth proportional to 1,504.71, 2,256.24 and 464.43 is: 696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.71 : 2,256.24 = 464.43 : x
  2. Step 2: Convert to fraction form
    1,504.71/2,256.24 = 464.43/x
  3. Step 3: Cross multiply
    1,504.71x = 2,256.24 × 464.43
  4. Step 4: Simplify right side
    1,504.71x = 1,047,854.10
  5. Step 5: Solve for x
    x = 1,047,854.10/1,504.71
  6. Step 6: Final answer
    x = 696.38

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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.