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Finding the Fourth Proportional to 1,735.14, 2,602.71 and 580.89

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Solution

The fourth proportional to 1,735.14, 2,602.71 and 580.89 is: 871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.14 : 2,602.71 = 580.89 : x
  2. Step 2: Convert to fraction form
    1,735.14/2,602.71 = 580.89/x
  3. Step 3: Cross multiply
    1,735.14x = 2,602.71 × 580.89
  4. Step 4: Simplify right side
    1,735.14x = 1,511,888.21
  5. Step 5: Solve for x
    x = 1,511,888.21/1,735.14
  6. Step 6: Final answer
    x = 871.34

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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.