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Finding the Fourth Proportional to 1,013.90, 1,519.63 and 465.33

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Solution

The fourth proportional to 1,013.90, 1,519.63 and 465.33 is: 697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.90 : 1,519.63 = 465.33 : x
  2. Step 2: Convert to fraction form
    1,013.90/1,519.63 = 465.33/x
  3. Step 3: Cross multiply
    1,013.90x = 1,519.63 × 465.33
  4. Step 4: Simplify right side
    1,013.90x = 707,129.43
  5. Step 5: Solve for x
    x = 707,129.43/1,013.90
  6. Step 6: Final answer
    x = 697.44

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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.