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Finding the Fourth Proportional to 1,096.38, 1,643.54 and 438.66

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Solution

The fourth proportional to 1,096.38, 1,643.54 and 438.66 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.38 : 1,643.54 = 438.66 : x
  2. Step 2: Convert to fraction form
    1,096.38/1,643.54 = 438.66/x
  3. Step 3: Cross multiply
    1,096.38x = 1,643.54 × 438.66
  4. Step 4: Simplify right side
    1,096.38x = 720,953.06
  5. Step 5: Solve for x
    x = 720,953.06/1,096.38
  6. Step 6: Final answer
    x = 657.58

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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.