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Finding the Fourth Proportional to 1,150.95, 1,588.31 and 626.98

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Solution

The fourth proportional to 1,150.95, 1,588.31 and 626.98 is: 865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.95 : 1,588.31 = 626.98 : x
  2. Step 2: Convert to fraction form
    1,150.95/1,588.31 = 626.98/x
  3. Step 3: Cross multiply
    1,150.95x = 1,588.31 × 626.98
  4. Step 4: Simplify right side
    1,150.95x = 995,838.60
  5. Step 5: Solve for x
    x = 995,838.60/1,150.95
  6. Step 6: Final answer
    x = 865.23

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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.