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Finding the Fourth Proportional to 1,156.87, 1,735.56 and 540.25

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Solution

The fourth proportional to 1,156.87, 1,735.56 and 540.25 is: 810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.87 : 1,735.56 = 540.25 : x
  2. Step 2: Convert to fraction form
    1,156.87/1,735.56 = 540.25/x
  3. Step 3: Cross multiply
    1,156.87x = 1,735.56 × 540.25
  4. Step 4: Simplify right side
    1,156.87x = 937,636.29
  5. Step 5: Solve for x
    x = 937,636.29/1,156.87
  6. Step 6: Final answer
    x = 810.49

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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.