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Finding the Fourth Proportional to 1,157.25, 1,736.49 and 580.14

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Solution

The fourth proportional to 1,157.25, 1,736.49 and 580.14 is: 870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.25 : 1,736.49 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,157.25/1,736.49 = 580.14/x
  3. Step 3: Cross multiply
    1,157.25x = 1,736.49 × 580.14
  4. Step 4: Simplify right side
    1,157.25x = 1,007,407.31
  5. Step 5: Solve for x
    x = 1,007,407.31/1,157.25
  6. Step 6: Final answer
    x = 870.52

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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.