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Finding the Fourth Proportional to 1,171.60, 1,765.58 and 1,056.16

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Solution

The fourth proportional to 1,171.60, 1,765.58 and 1,056.16 is: 1,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.60 : 1,765.58 = 1,056.16 : x
  2. Step 2: Convert to fraction form
    1,171.60/1,765.58 = 1,056.16/x
  3. Step 3: Cross multiply
    1,171.60x = 1,765.58 × 1,056.16
  4. Step 4: Simplify right side
    1,171.60x = 1,864,734.97
  5. Step 5: Solve for x
    x = 1,864,734.97/1,171.60
  6. Step 6: Final answer
    x = 1,591.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.