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Finding the Fourth Proportional to 738.30, 1,106.42 and 564.29

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Solution

The fourth proportional to 738.30, 1,106.42 and 564.29 is: 845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.30 : 1,106.42 = 564.29 : x
  2. Step 2: Convert to fraction form
    738.30/1,106.42 = 564.29/x
  3. Step 3: Cross multiply
    738.30x = 1,106.42 × 564.29
  4. Step 4: Simplify right side
    738.30x = 624,333.39
  5. Step 5: Solve for x
    x = 624,333.39/738.30
  6. Step 6: Final answer
    x = 845.64

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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.