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Finding the Fourth Proportional to 1,157.16, 1,735.42 and 540.76

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Solution

The fourth proportional to 1,157.16, 1,735.42 and 540.76 is: 810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.16 : 1,735.42 = 540.76 : x
  2. Step 2: Convert to fraction form
    1,157.16/1,735.42 = 540.76/x
  3. Step 3: Cross multiply
    1,157.16x = 1,735.42 × 540.76
  4. Step 4: Simplify right side
    1,157.16x = 938,445.72
  5. Step 5: Solve for x
    x = 938,445.72/1,157.16
  6. Step 6: Final answer
    x = 810.99

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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.