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Finding the Fourth Proportional to 738.55, 1,105.67 and 429.46

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Solution

The fourth proportional to 738.55, 1,105.67 and 429.46 is: 642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.55 : 1,105.67 = 429.46 : x
  2. Step 2: Convert to fraction form
    738.55/1,105.67 = 429.46/x
  3. Step 3: Cross multiply
    738.55x = 1,105.67 × 429.46
  4. Step 4: Simplify right side
    738.55x = 474,839.35
  5. Step 5: Solve for x
    x = 474,839.35/738.55
  6. Step 6: Final answer
    x = 642.94

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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.