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Finding the Fourth Proportional to 1,012.93, 1,519.29 and 397.13

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Solution

The fourth proportional to 1,012.93, 1,519.29 and 397.13 is: 595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.93 : 1,519.29 = 397.13 : x
  2. Step 2: Convert to fraction form
    1,012.93/1,519.29 = 397.13/x
  3. Step 3: Cross multiply
    1,012.93x = 1,519.29 × 397.13
  4. Step 4: Simplify right side
    1,012.93x = 603,348.04
  5. Step 5: Solve for x
    x = 603,348.04/1,012.93
  6. Step 6: Final answer
    x = 595.65

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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.