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Finding the Fourth Proportional to 1,013.25, 1,519.06 and 436.53

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Solution

The fourth proportional to 1,013.25, 1,519.06 and 436.53 is: 654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.25 : 1,519.06 = 436.53 : x
  2. Step 2: Convert to fraction form
    1,013.25/1,519.06 = 436.53/x
  3. Step 3: Cross multiply
    1,013.25x = 1,519.06 × 436.53
  4. Step 4: Simplify right side
    1,013.25x = 663,115.26
  5. Step 5: Solve for x
    x = 663,115.26/1,013.25
  6. Step 6: Final answer
    x = 654.44

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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.