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Finding the Fourth Proportional to 1,013.40, 1,520.22 and 465.72

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Solution

The fourth proportional to 1,013.40, 1,520.22 and 465.72 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.40 : 1,520.22 = 465.72 : x
  2. Step 2: Convert to fraction form
    1,013.40/1,520.22 = 465.72/x
  3. Step 3: Cross multiply
    1,013.40x = 1,520.22 × 465.72
  4. Step 4: Simplify right side
    1,013.40x = 707,996.86
  5. Step 5: Solve for x
    x = 707,996.86/1,013.40
  6. Step 6: Final answer
    x = 698.64

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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.