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Finding the Fourth Proportional to 1,105.35, 1,656.60 and 923.10

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Solution

The fourth proportional to 1,105.35, 1,656.60 and 923.10 is: 1,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.35 : 1,656.60 = 923.10 : x
  2. Step 2: Convert to fraction form
    1,105.35/1,656.60 = 923.10/x
  3. Step 3: Cross multiply
    1,105.35x = 1,656.60 × 923.10
  4. Step 4: Simplify right side
    1,105.35x = 1,529,207.46
  5. Step 5: Solve for x
    x = 1,529,207.46/1,105.35
  6. Step 6: Final answer
    x = 1,383.46

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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.