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Finding the Fourth Proportional to 1,270.76, 1,755.28 and 877.08

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Solution

The fourth proportional to 1,270.76, 1,755.28 and 877.08 is: 1,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.76 : 1,755.28 = 877.08 : x
  2. Step 2: Convert to fraction form
    1,270.76/1,755.28 = 877.08/x
  3. Step 3: Cross multiply
    1,270.76x = 1,755.28 × 877.08
  4. Step 4: Simplify right side
    1,270.76x = 1,539,520.98
  5. Step 5: Solve for x
    x = 1,539,520.98/1,270.76
  6. Step 6: Final answer
    x = 1,211.50

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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.