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Finding the Fourth Proportional to 1,000.97, 1,501.17 and 298.32

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Solution

The fourth proportional to 1,000.97, 1,501.17 and 298.32 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.97 : 1,501.17 = 298.32 : x
  2. Step 2: Convert to fraction form
    1,000.97/1,501.17 = 298.32/x
  3. Step 3: Cross multiply
    1,000.97x = 1,501.17 × 298.32
  4. Step 4: Simplify right side
    1,000.97x = 447,829.88
  5. Step 5: Solve for x
    x = 447,829.88/1,000.97
  6. Step 6: Final answer
    x = 447.40

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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.