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Finding the Fourth Proportional to 1,150.71, 1,588.11 and 653.43

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Solution

The fourth proportional to 1,150.71, 1,588.11 and 653.43 is: 901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.71 : 1,588.11 = 653.43 : x
  2. Step 2: Convert to fraction form
    1,150.71/1,588.11 = 653.43/x
  3. Step 3: Cross multiply
    1,150.71x = 1,588.11 × 653.43
  4. Step 4: Simplify right side
    1,150.71x = 1,037,718.72
  5. Step 5: Solve for x
    x = 1,037,718.72/1,150.71
  6. Step 6: Final answer
    x = 901.81

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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.