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Finding the Fourth Proportional to 743.76, 1,113.12 and 455.40

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Solution

The fourth proportional to 743.76, 1,113.12 and 455.40 is: 681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.76 : 1,113.12 = 455.40 : x
  2. Step 2: Convert to fraction form
    743.76/1,113.12 = 455.40/x
  3. Step 3: Cross multiply
    743.76x = 1,113.12 × 455.40
  4. Step 4: Simplify right side
    743.76x = 506,914.85
  5. Step 5: Solve for x
    x = 506,914.85/743.76
  6. Step 6: Final answer
    x = 681.56

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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.