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Finding the Fourth Proportional to 1,061.47, 1,592.82 and 445.12

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Solution

The fourth proportional to 1,061.47, 1,592.82 and 445.12 is: 667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.47 : 1,592.82 = 445.12 : x
  2. Step 2: Convert to fraction form
    1,061.47/1,592.82 = 445.12/x
  3. Step 3: Cross multiply
    1,061.47x = 1,592.82 × 445.12
  4. Step 4: Simplify right side
    1,061.47x = 708,992.06
  5. Step 5: Solve for x
    x = 708,992.06/1,061.47
  6. Step 6: Final answer
    x = 667.94

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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.