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Finding the Fourth Proportional to 1,127.25, 1,555.74 and 661.50

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Solution

The fourth proportional to 1,127.25, 1,555.74 and 661.50 is: 912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.25 : 1,555.74 = 661.50 : x
  2. Step 2: Convert to fraction form
    1,127.25/1,555.74 = 661.50/x
  3. Step 3: Cross multiply
    1,127.25x = 1,555.74 × 661.50
  4. Step 4: Simplify right side
    1,127.25x = 1,029,122.01
  5. Step 5: Solve for x
    x = 1,029,122.01/1,127.25
  6. Step 6: Final answer
    x = 912.95

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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.