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Finding the Fourth Proportional to 1,271.15, 1,755.86 and 975.91

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Solution

The fourth proportional to 1,271.15, 1,755.86 and 975.91 is: 1,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.15 : 1,755.86 = 975.91 : x
  2. Step 2: Convert to fraction form
    1,271.15/1,755.86 = 975.91/x
  3. Step 3: Cross multiply
    1,271.15x = 1,755.86 × 975.91
  4. Step 4: Simplify right side
    1,271.15x = 1,713,561.33
  5. Step 5: Solve for x
    x = 1,713,561.33/1,271.15
  6. Step 6: Final answer
    x = 1,348.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.