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Finding the Fourth Proportional to 1,072.18, 1,606.92 and 493.84

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Solution

The fourth proportional to 1,072.18, 1,606.92 and 493.84 is: 740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.18 : 1,606.92 = 493.84 : x
  2. Step 2: Convert to fraction form
    1,072.18/1,606.92 = 493.84/x
  3. Step 3: Cross multiply
    1,072.18x = 1,606.92 × 493.84
  4. Step 4: Simplify right side
    1,072.18x = 793,561.37
  5. Step 5: Solve for x
    x = 793,561.37/1,072.18
  6. Step 6: Final answer
    x = 740.14

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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.