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Finding the Fourth Proportional to 1,731.14, 2,597.44 and 705.86

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Solution

The fourth proportional to 1,731.14, 2,597.44 and 705.86 is: 1,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.14 : 2,597.44 = 705.86 : x
  2. Step 2: Convert to fraction form
    1,731.14/2,597.44 = 705.86/x
  3. Step 3: Cross multiply
    1,731.14x = 2,597.44 × 705.86
  4. Step 4: Simplify right side
    1,731.14x = 1,833,429.00
  5. Step 5: Solve for x
    x = 1,833,429.00/1,731.14
  6. Step 6: Final answer
    x = 1,059.09

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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.