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Finding the Fourth Proportional to 1,504.74, 2,256.27 and 464.45

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Solution

The fourth proportional to 1,504.74, 2,256.27 and 464.45 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.74 : 2,256.27 = 464.45 : x
  2. Step 2: Convert to fraction form
    1,504.74/2,256.27 = 464.45/x
  3. Step 3: Cross multiply
    1,504.74x = 2,256.27 × 464.45
  4. Step 4: Simplify right side
    1,504.74x = 1,047,911.58
  5. Step 5: Solve for x
    x = 1,047,911.58/1,504.74
  6. Step 6: Final answer
    x = 696.41

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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.