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Finding the Fourth Proportional to 1,157.09, 1,735.65 and 291.38

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Solution

The fourth proportional to 1,157.09, 1,735.65 and 291.38 is: 437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.09 : 1,735.65 = 291.38 : x
  2. Step 2: Convert to fraction form
    1,157.09/1,735.65 = 291.38/x
  3. Step 3: Cross multiply
    1,157.09x = 1,735.65 × 291.38
  4. Step 4: Simplify right side
    1,157.09x = 505,733.70
  5. Step 5: Solve for x
    x = 505,733.70/1,157.09
  6. Step 6: Final answer
    x = 437.07

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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.