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Finding the Fourth Proportional to 1,105.63, 1,658.64 and 336.13

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Solution

The fourth proportional to 1,105.63, 1,658.64 and 336.13 is: 504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.63 : 1,658.64 = 336.13 : x
  2. Step 2: Convert to fraction form
    1,105.63/1,658.64 = 336.13/x
  3. Step 3: Cross multiply
    1,105.63x = 1,658.64 × 336.13
  4. Step 4: Simplify right side
    1,105.63x = 557,510.37
  5. Step 5: Solve for x
    x = 557,510.37/1,105.63
  6. Step 6: Final answer
    x = 504.25

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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.