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Finding the Fourth Proportional to 1,127.50, 1,555.96 and 661.76

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Solution

The fourth proportional to 1,127.50, 1,555.96 and 661.76 is: 913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.50 : 1,555.96 = 661.76 : x
  2. Step 2: Convert to fraction form
    1,127.50/1,555.96 = 661.76/x
  3. Step 3: Cross multiply
    1,127.50x = 1,555.96 × 661.76
  4. Step 4: Simplify right side
    1,127.50x = 1,029,672.09
  5. Step 5: Solve for x
    x = 1,029,672.09/1,127.50
  6. Step 6: Final answer
    x = 913.23

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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.