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Finding the Fourth Proportional to 738.33, 1,106.69 and 496.14

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Solution

The fourth proportional to 738.33, 1,106.69 and 496.14 is: 743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.33 : 1,106.69 = 496.14 : x
  2. Step 2: Convert to fraction form
    738.33/1,106.69 = 496.14/x
  3. Step 3: Cross multiply
    738.33x = 1,106.69 × 496.14
  4. Step 4: Simplify right side
    738.33x = 549,070.70
  5. Step 5: Solve for x
    x = 549,070.70/738.33
  6. Step 6: Final answer
    x = 743.67

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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.