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Finding the Fourth Proportional to 743.22, 1,025.33 and 491.40

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Solution

The fourth proportional to 743.22, 1,025.33 and 491.40 is: 677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.22 : 1,025.33 = 491.40 : x
  2. Step 2: Convert to fraction form
    743.22/1,025.33 = 491.40/x
  3. Step 3: Cross multiply
    743.22x = 1,025.33 × 491.40
  4. Step 4: Simplify right side
    743.22x = 503,844.71
  5. Step 5: Solve for x
    x = 503,844.71/743.22
  6. Step 6: Final answer
    x = 677.92

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