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Finding the Fourth Proportional to 1,013.45, 1,519.90 and 493.16

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Solution

The fourth proportional to 1,013.45, 1,519.90 and 493.16 is: 739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.45 : 1,519.90 = 493.16 : x
  2. Step 2: Convert to fraction form
    1,013.45/1,519.90 = 493.16/x
  3. Step 3: Cross multiply
    1,013.45x = 1,519.90 × 493.16
  4. Step 4: Simplify right side
    1,013.45x = 749,545.05
  5. Step 5: Solve for x
    x = 749,545.05/1,013.45
  6. Step 6: Final answer
    x = 739.60

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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.