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Finding the Fourth Proportional to 859.53, 1,288.89 and 469.41

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Solution

The fourth proportional to 859.53, 1,288.89 and 469.41 is: 703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.53 : 1,288.89 = 469.41 : x
  2. Step 2: Convert to fraction form
    859.53/1,288.89 = 469.41/x
  3. Step 3: Cross multiply
    859.53x = 1,288.89 × 469.41
  4. Step 4: Simplify right side
    859.53x = 605,017.85
  5. Step 5: Solve for x
    x = 605,017.85/859.53
  6. Step 6: Final answer
    x = 703.89

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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.