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Finding the Fourth Proportional to 1,077.16, 1,614.32 and 492.24

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Solution

The fourth proportional to 1,077.16, 1,614.32 and 492.24 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.16 : 1,614.32 = 492.24 : x
  2. Step 2: Convert to fraction form
    1,077.16/1,614.32 = 492.24/x
  3. Step 3: Cross multiply
    1,077.16x = 1,614.32 × 492.24
  4. Step 4: Simplify right side
    1,077.16x = 794,632.88
  5. Step 5: Solve for x
    x = 794,632.88/1,077.16
  6. Step 6: Final answer
    x = 737.71

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Why These Related Problems?

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