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Finding the Fourth Proportional to 1,013.60, 1,520.38 and 465.62

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Solution

The fourth proportional to 1,013.60, 1,520.38 and 465.62 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.60 : 1,520.38 = 465.62 : x
  2. Step 2: Convert to fraction form
    1,013.60/1,520.38 = 465.62/x
  3. Step 3: Cross multiply
    1,013.60x = 1,520.38 × 465.62
  4. Step 4: Simplify right side
    1,013.60x = 707,919.34
  5. Step 5: Solve for x
    x = 707,919.34/1,013.60
  6. Step 6: Final answer
    x = 698.42

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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.