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Finding the Fourth Proportional to 1,157.32, 1,735.02 and 540.71

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Solution

The fourth proportional to 1,157.32, 1,735.02 and 540.71 is: 810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.32 : 1,735.02 = 540.71 : x
  2. Step 2: Convert to fraction form
    1,157.32/1,735.02 = 540.71/x
  3. Step 3: Cross multiply
    1,157.32x = 1,735.02 × 540.71
  4. Step 4: Simplify right side
    1,157.32x = 938,140.50
  5. Step 5: Solve for x
    x = 938,140.50/1,157.32
  6. Step 6: Final answer
    x = 810.61

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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.