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Finding the Fourth Proportional to 1,342.01, 2,013.08 and 464.55

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Solution

The fourth proportional to 1,342.01, 2,013.08 and 464.55 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.01 : 2,013.08 = 464.55 : x
  2. Step 2: Convert to fraction form
    1,342.01/2,013.08 = 464.55/x
  3. Step 3: Cross multiply
    1,342.01x = 2,013.08 × 464.55
  4. Step 4: Simplify right side
    1,342.01x = 935,173.99
  5. Step 5: Solve for x
    x = 935,173.99/1,342.01
  6. Step 6: Final answer
    x = 696.85

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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.