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Finding the Fourth Proportional to 1,108.77, 1,663.54 and 492.91

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Solution

The fourth proportional to 1,108.77, 1,663.54 and 492.91 is: 739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.77 : 1,663.54 = 492.91 : x
  2. Step 2: Convert to fraction form
    1,108.77/1,663.54 = 492.91/x
  3. Step 3: Cross multiply
    1,108.77x = 1,663.54 × 492.91
  4. Step 4: Simplify right side
    1,108.77x = 819,977.56
  5. Step 5: Solve for x
    x = 819,977.56/1,108.77
  6. Step 6: Final answer
    x = 739.53

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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.