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Finding the Fourth Proportional to 738.60, 1,106.20 and 563.23

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Solution

The fourth proportional to 738.60, 1,106.20 and 563.23 is: 843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,106.20 = 563.23 : x
  2. Step 2: Convert to fraction form
    738.60/1,106.20 = 563.23/x
  3. Step 3: Cross multiply
    738.60x = 1,106.20 × 563.23
  4. Step 4: Simplify right side
    738.60x = 623,045.03
  5. Step 5: Solve for x
    x = 623,045.03/738.60
  6. Step 6: Final answer
    x = 843.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.