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Finding the Fourth Proportional to 1,150.79, 1,588.09 and 626.82

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Solution

The fourth proportional to 1,150.79, 1,588.09 and 626.82 is: 865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.79 : 1,588.09 = 626.82 : x
  2. Step 2: Convert to fraction form
    1,150.79/1,588.09 = 626.82/x
  3. Step 3: Cross multiply
    1,150.79x = 1,588.09 × 626.82
  4. Step 4: Simplify right side
    1,150.79x = 995,441.81
  5. Step 5: Solve for x
    x = 995,441.81/1,150.79
  6. Step 6: Final answer
    x = 865.01

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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.