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Finding the Fourth Proportional to 1,735.32, 2,602.14 and 580.68

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Solution

The fourth proportional to 1,735.32, 2,602.14 and 580.68 is: 870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.32 : 2,602.14 = 580.68 : x
  2. Step 2: Convert to fraction form
    1,735.32/2,602.14 = 580.68/x
  3. Step 3: Cross multiply
    1,735.32x = 2,602.14 × 580.68
  4. Step 4: Simplify right side
    1,735.32x = 1,511,010.66
  5. Step 5: Solve for x
    x = 1,511,010.66/1,735.32
  6. Step 6: Final answer
    x = 870.74

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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.