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Finding the Fourth Proportional to 1,591.33, 2,384.94 and 713.19

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Solution

The fourth proportional to 1,591.33, 2,384.94 and 713.19 is: 1,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.33 : 2,384.94 = 713.19 : x
  2. Step 2: Convert to fraction form
    1,591.33/2,384.94 = 713.19/x
  3. Step 3: Cross multiply
    1,591.33x = 2,384.94 × 713.19
  4. Step 4: Simplify right side
    1,591.33x = 1,700,899.87
  5. Step 5: Solve for x
    x = 1,700,899.87/1,591.33
  6. Step 6: Final answer
    x = 1,068.86

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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.