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Finding the Fourth Proportional to 1,157.22, 1,735.83 and 291.53

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Solution

The fourth proportional to 1,157.22, 1,735.83 and 291.53 is: 437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.22 : 1,735.83 = 291.53 : x
  2. Step 2: Convert to fraction form
    1,157.22/1,735.83 = 291.53/x
  3. Step 3: Cross multiply
    1,157.22x = 1,735.83 × 291.53
  4. Step 4: Simplify right side
    1,157.22x = 506,050.86
  5. Step 5: Solve for x
    x = 506,050.86/1,157.22
  6. Step 6: Final answer
    x = 437.30

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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.