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Finding the Fourth Proportional to 738.50, 1,019.13 and 428.02

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Solution

The fourth proportional to 738.50, 1,019.13 and 428.02 is: 590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.50 : 1,019.13 = 428.02 : x
  2. Step 2: Convert to fraction form
    738.50/1,019.13 = 428.02/x
  3. Step 3: Cross multiply
    738.50x = 1,019.13 × 428.02
  4. Step 4: Simplify right side
    738.50x = 436,208.02
  5. Step 5: Solve for x
    x = 436,208.02/738.50
  6. Step 6: Final answer
    x = 590.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.