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Finding the Fourth Proportional to 1,157.21, 1,735.81 and 291.52

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Solution

The fourth proportional to 1,157.21, 1,735.81 and 291.52 is: 437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.21 : 1,735.81 = 291.52 : x
  2. Step 2: Convert to fraction form
    1,157.21/1,735.81 = 291.52/x
  3. Step 3: Cross multiply
    1,157.21x = 1,735.81 × 291.52
  4. Step 4: Simplify right side
    1,157.21x = 506,023.33
  5. Step 5: Solve for x
    x = 506,023.33/1,157.21
  6. Step 6: Final answer
    x = 437.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.