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Finding the Fourth Proportional to 1,013.37, 1,518.90 and 396.89

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Solution

The fourth proportional to 1,013.37, 1,518.90 and 396.89 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.37 : 1,518.90 = 396.89 : x
  2. Step 2: Convert to fraction form
    1,013.37/1,518.90 = 396.89/x
  3. Step 3: Cross multiply
    1,013.37x = 1,518.90 × 396.89
  4. Step 4: Simplify right side
    1,013.37x = 602,836.22
  5. Step 5: Solve for x
    x = 602,836.22/1,013.37
  6. Step 6: Final answer
    x = 594.88

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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.