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Finding the Fourth Proportional to 1,096.08, 1,643.90 and 437.55

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Solution

The fourth proportional to 1,096.08, 1,643.90 and 437.55 is: 656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.08 : 1,643.90 = 437.55 : x
  2. Step 2: Convert to fraction form
    1,096.08/1,643.90 = 437.55/x
  3. Step 3: Cross multiply
    1,096.08x = 1,643.90 × 437.55
  4. Step 4: Simplify right side
    1,096.08x = 719,289.34
  5. Step 5: Solve for x
    x = 719,289.34/1,096.08
  6. Step 6: Final answer
    x = 656.24

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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.