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Finding the Fourth Proportional to 738.19, 1,107.96 and 373.23

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Solution

The fourth proportional to 738.19, 1,107.96 and 373.23 is: 560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.19 : 1,107.96 = 373.23 : x
  2. Step 2: Convert to fraction form
    738.19/1,107.96 = 373.23/x
  3. Step 3: Cross multiply
    738.19x = 1,107.96 × 373.23
  4. Step 4: Simplify right side
    738.19x = 413,523.91
  5. Step 5: Solve for x
    x = 413,523.91/738.19
  6. Step 6: Final answer
    x = 560.19

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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.