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Finding the Fourth Proportional to 851.98, 1,174.62 and 603.04

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Solution

The fourth proportional to 851.98, 1,174.62 and 603.04 is: 831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.98 : 1,174.62 = 603.04 : x
  2. Step 2: Convert to fraction form
    851.98/1,174.62 = 603.04/x
  3. Step 3: Cross multiply
    851.98x = 1,174.62 × 603.04
  4. Step 4: Simplify right side
    851.98x = 708,342.84
  5. Step 5: Solve for x
    x = 708,342.84/851.98
  6. Step 6: Final answer
    x = 831.41

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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.