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Finding the Fourth Proportional to 738.21, 1,106.53 and 391.33

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Solution

The fourth proportional to 738.21, 1,106.53 and 391.33 is: 586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.21 : 1,106.53 = 391.33 : x
  2. Step 2: Convert to fraction form
    738.21/1,106.53 = 391.33/x
  3. Step 3: Cross multiply
    738.21x = 1,106.53 × 391.33
  4. Step 4: Simplify right side
    738.21x = 433,014.64
  5. Step 5: Solve for x
    x = 433,014.64/738.21
  6. Step 6: Final answer
    x = 586.57

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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.