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Finding the Fourth Proportional to 746.61, 1,119 and 563.43

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Solution

The fourth proportional to 746.61, 1,119 and 563.43 is: 844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.61 : 1,119 = 563.43 : x
  2. Step 2: Convert to fraction form
    746.61/1,119 = 563.43/x
  3. Step 3: Cross multiply
    746.61x = 1,119 × 563.43
  4. Step 4: Simplify right side
    746.61x = 630,478.17
  5. Step 5: Solve for x
    x = 630,478.17/746.61
  6. Step 6: Final answer
    x = 844.45

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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.