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Finding the Fourth Proportional to 1,504.25, 2,256.72 and 464.35

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Solution

The fourth proportional to 1,504.25, 2,256.72 and 464.35 is: 696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.25 : 2,256.72 = 464.35 : x
  2. Step 2: Convert to fraction form
    1,504.25/2,256.72 = 464.35/x
  3. Step 3: Cross multiply
    1,504.25x = 2,256.72 × 464.35
  4. Step 4: Simplify right side
    1,504.25x = 1,047,894.33
  5. Step 5: Solve for x
    x = 1,047,894.33/1,504.25
  6. Step 6: Final answer
    x = 696.62

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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.