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Finding the Fourth Proportional to 1,150.07, 1,588.22 and 983.31

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Solution

The fourth proportional to 1,150.07, 1,588.22 and 983.31 is: 1,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.07 : 1,588.22 = 983.31 : x
  2. Step 2: Convert to fraction form
    1,150.07/1,588.22 = 983.31/x
  3. Step 3: Cross multiply
    1,150.07x = 1,588.22 × 983.31
  4. Step 4: Simplify right side
    1,150.07x = 1,561,707.69
  5. Step 5: Solve for x
    x = 1,561,707.69/1,150.07
  6. Step 6: Final answer
    x = 1,357.93

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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.