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Finding the Fourth Proportional to 1,281.86, 1,769.13 and 988.77

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Solution

The fourth proportional to 1,281.86, 1,769.13 and 988.77 is: 1,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.86 : 1,769.13 = 988.77 : x
  2. Step 2: Convert to fraction form
    1,281.86/1,769.13 = 988.77/x
  3. Step 3: Cross multiply
    1,281.86x = 1,769.13 × 988.77
  4. Step 4: Simplify right side
    1,281.86x = 1,749,262.67
  5. Step 5: Solve for x
    x = 1,749,262.67/1,281.86
  6. Step 6: Final answer
    x = 1,364.63

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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.