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Finding the Fourth Proportional to 1,127.77, 1,555.86 and 685.60

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Solution

The fourth proportional to 1,127.77, 1,555.86 and 685.60 is: 945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.77 : 1,555.86 = 685.60 : x
  2. Step 2: Convert to fraction form
    1,127.77/1,555.86 = 685.60/x
  3. Step 3: Cross multiply
    1,127.77x = 1,555.86 × 685.60
  4. Step 4: Simplify right side
    1,127.77x = 1,066,697.62
  5. Step 5: Solve for x
    x = 1,066,697.62/1,127.77
  6. Step 6: Final answer
    x = 945.85

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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.