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Finding the Fourth Proportional to 1,099.06, 1,644.72 and 901.68

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Solution

The fourth proportional to 1,099.06, 1,644.72 and 901.68 is: 1,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.06 : 1,644.72 = 901.68 : x
  2. Step 2: Convert to fraction form
    1,099.06/1,644.72 = 901.68/x
  3. Step 3: Cross multiply
    1,099.06x = 1,644.72 × 901.68
  4. Step 4: Simplify right side
    1,099.06x = 1,483,011.13
  5. Step 5: Solve for x
    x = 1,483,011.13/1,099.06
  6. Step 6: Final answer
    x = 1,349.35

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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.