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Finding the Fourth Proportional to 738.19, 1,106.67 and 409.11

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Solution

The fourth proportional to 738.19, 1,106.67 and 409.11 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.19 : 1,106.67 = 409.11 : x
  2. Step 2: Convert to fraction form
    738.19/1,106.67 = 409.11/x
  3. Step 3: Cross multiply
    738.19x = 1,106.67 × 409.11
  4. Step 4: Simplify right side
    738.19x = 452,749.76
  5. Step 5: Solve for x
    x = 452,749.76/738.19
  6. Step 6: Final answer
    x = 613.32

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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.