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Finding the Fourth Proportional to 738.12, 1,107.18 and 412.77

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Solution

The fourth proportional to 738.12, 1,107.18 and 412.77 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.12 : 1,107.18 = 412.77 : x
  2. Step 2: Convert to fraction form
    738.12/1,107.18 = 412.77/x
  3. Step 3: Cross multiply
    738.12x = 1,107.18 × 412.77
  4. Step 4: Simplify right side
    738.12x = 457,010.69
  5. Step 5: Solve for x
    x = 457,010.69/738.12
  6. Step 6: Final answer
    x = 619.16

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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.