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Finding the Fourth Proportional to 1,191.44, 1,785.72 and 506

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Solution

The fourth proportional to 1,191.44, 1,785.72 and 506 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.44 : 1,785.72 = 506 : x
  2. Step 2: Convert to fraction form
    1,191.44/1,785.72 = 506/x
  3. Step 3: Cross multiply
    1,191.44x = 1,785.72 × 506
  4. Step 4: Simplify right side
    1,191.44x = 903,574.32
  5. Step 5: Solve for x
    x = 903,574.32/1,191.44
  6. Step 6: Final answer
    x = 758.39

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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.