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Finding the Fourth Proportional to 1,108.52, 1,663.37 and 492.67

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Solution

The fourth proportional to 1,108.52, 1,663.37 and 492.67 is: 739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.52 : 1,663.37 = 492.67 : x
  2. Step 2: Convert to fraction form
    1,108.52/1,663.37 = 492.67/x
  3. Step 3: Cross multiply
    1,108.52x = 1,663.37 × 492.67
  4. Step 4: Simplify right side
    1,108.52x = 819,492.50
  5. Step 5: Solve for x
    x = 819,492.50/1,108.52
  6. Step 6: Final answer
    x = 739.27

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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.