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Finding the Fourth Proportional to 1,096.99, 1,646.62 and 734.31

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Solution

The fourth proportional to 1,096.99, 1,646.62 and 734.31 is: 1,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.99 : 1,646.62 = 734.31 : x
  2. Step 2: Convert to fraction form
    1,096.99/1,646.62 = 734.31/x
  3. Step 3: Cross multiply
    1,096.99x = 1,646.62 × 734.31
  4. Step 4: Simplify right side
    1,096.99x = 1,209,129.53
  5. Step 5: Solve for x
    x = 1,209,129.53/1,096.99
  6. Step 6: Final answer
    x = 1,102.23

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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.