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Finding the Fourth Proportional to 1,504.34, 2,257.01 and 464.30

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Solution

The fourth proportional to 1,504.34, 2,257.01 and 464.30 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.34 : 2,257.01 = 464.30 : x
  2. Step 2: Convert to fraction form
    1,504.34/2,257.01 = 464.30/x
  3. Step 3: Cross multiply
    1,504.34x = 2,257.01 × 464.30
  4. Step 4: Simplify right side
    1,504.34x = 1,047,916.14
  5. Step 5: Solve for x
    x = 1,047,916.14/1,504.34
  6. Step 6: Final answer
    x = 696.60

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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.