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Finding the Fourth Proportional to 1,013.26, 1,519.65 and 465.10

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Solution

The fourth proportional to 1,013.26, 1,519.65 and 465.10 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.26 : 1,519.65 = 465.10 : x
  2. Step 2: Convert to fraction form
    1,013.26/1,519.65 = 465.10/x
  3. Step 3: Cross multiply
    1,013.26x = 1,519.65 × 465.10
  4. Step 4: Simplify right side
    1,013.26x = 706,789.22
  5. Step 5: Solve for x
    x = 706,789.22/1,013.26
  6. Step 6: Final answer
    x = 697.54

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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.