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Finding the Fourth Proportional to 869.51, 1,305.14 and 505.01

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Solution

The fourth proportional to 869.51, 1,305.14 and 505.01 is: 758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.51 : 1,305.14 = 505.01 : x
  2. Step 2: Convert to fraction form
    869.51/1,305.14 = 505.01/x
  3. Step 3: Cross multiply
    869.51x = 1,305.14 × 505.01
  4. Step 4: Simplify right side
    869.51x = 659,099.70
  5. Step 5: Solve for x
    x = 659,099.70/869.51
  6. Step 6: Final answer
    x = 758.02

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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.