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Finding the Fourth Proportional to 1,353.16, 1,867.37 and 793.64

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Solution

The fourth proportional to 1,353.16, 1,867.37 and 793.64 is: 1,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.16 : 1,867.37 = 793.64 : x
  2. Step 2: Convert to fraction form
    1,353.16/1,867.37 = 793.64/x
  3. Step 3: Cross multiply
    1,353.16x = 1,867.37 × 793.64
  4. Step 4: Simplify right side
    1,353.16x = 1,482,019.53
  5. Step 5: Solve for x
    x = 1,482,019.53/1,353.16
  6. Step 6: Final answer
    x = 1,095.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.