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Finding the Fourth Proportional to 869.87, 1,303.43 and 503.84

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Solution

The fourth proportional to 869.87, 1,303.43 and 503.84 is: 754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.87 : 1,303.43 = 503.84 : x
  2. Step 2: Convert to fraction form
    869.87/1,303.43 = 503.84/x
  3. Step 3: Cross multiply
    869.87x = 1,303.43 × 503.84
  4. Step 4: Simplify right side
    869.87x = 656,720.91
  5. Step 5: Solve for x
    x = 656,720.91/869.87
  6. Step 6: Final answer
    x = 754.96

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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.