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Finding the Fourth Proportional to 1,157.64, 1,737.38 and 1,020.96

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Solution

The fourth proportional to 1,157.64, 1,737.38 and 1,020.96 is: 1,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.64 : 1,737.38 = 1,020.96 : x
  2. Step 2: Convert to fraction form
    1,157.64/1,737.38 = 1,020.96/x
  3. Step 3: Cross multiply
    1,157.64x = 1,737.38 × 1,020.96
  4. Step 4: Simplify right side
    1,157.64x = 1,773,795.48
  5. Step 5: Solve for x
    x = 1,773,795.48/1,157.64
  6. Step 6: Final answer
    x = 1,532.25

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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.