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Finding the Fourth Proportional to 851.03, 1,174.51 and 519.65

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Solution

The fourth proportional to 851.03, 1,174.51 and 519.65 is: 717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.03 : 1,174.51 = 519.65 : x
  2. Step 2: Convert to fraction form
    851.03/1,174.51 = 519.65/x
  3. Step 3: Cross multiply
    851.03x = 1,174.51 × 519.65
  4. Step 4: Simplify right side
    851.03x = 610,332.82
  5. Step 5: Solve for x
    x = 610,332.82/851.03
  6. Step 6: Final answer
    x = 717.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.