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Finding the Fourth Proportional to 981.12, 1,472.72 and 404.40

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Solution

The fourth proportional to 981.12, 1,472.72 and 404.40 is: 607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.12 : 1,472.72 = 404.40 : x
  2. Step 2: Convert to fraction form
    981.12/1,472.72 = 404.40/x
  3. Step 3: Cross multiply
    981.12x = 1,472.72 × 404.40
  4. Step 4: Simplify right side
    981.12x = 595,567.97
  5. Step 5: Solve for x
    x = 595,567.97/981.12
  6. Step 6: Final answer
    x = 607.03

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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.