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Finding the Fourth Proportional to 1,078.55, 1,616.29 and 492.11

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Solution

The fourth proportional to 1,078.55, 1,616.29 and 492.11 is: 737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.55 : 1,616.29 = 492.11 : x
  2. Step 2: Convert to fraction form
    1,078.55/1,616.29 = 492.11/x
  3. Step 3: Cross multiply
    1,078.55x = 1,616.29 × 492.11
  4. Step 4: Simplify right side
    1,078.55x = 795,381.93
  5. Step 5: Solve for x
    x = 795,381.93/1,078.55
  6. Step 6: Final answer
    x = 737.46

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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.