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Finding the Fourth Proportional to 1,157.17, 1,736.81 and 541.24

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Solution

The fourth proportional to 1,157.17, 1,736.81 and 541.24 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.17 : 1,736.81 = 541.24 : x
  2. Step 2: Convert to fraction form
    1,157.17/1,736.81 = 541.24/x
  3. Step 3: Cross multiply
    1,157.17x = 1,736.81 × 541.24
  4. Step 4: Simplify right side
    1,157.17x = 940,031.04
  5. Step 5: Solve for x
    x = 940,031.04/1,157.17
  6. Step 6: Final answer
    x = 812.35

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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.