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Finding the Fourth Proportional to 1,271.69, 1,908.52 and 569.12

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Solution

The fourth proportional to 1,271.69, 1,908.52 and 569.12 is: 854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.69 : 1,908.52 = 569.12 : x
  2. Step 2: Convert to fraction form
    1,271.69/1,908.52 = 569.12/x
  3. Step 3: Cross multiply
    1,271.69x = 1,908.52 × 569.12
  4. Step 4: Simplify right side
    1,271.69x = 1,086,176.67
  5. Step 5: Solve for x
    x = 1,086,176.67/1,271.69
  6. Step 6: Final answer
    x = 854.12

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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.