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Finding the Fourth Proportional to 1,150.50, 1,587.87 and 685.02

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Solution

The fourth proportional to 1,150.50, 1,587.87 and 685.02 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.50 : 1,587.87 = 685.02 : x
  2. Step 2: Convert to fraction form
    1,150.50/1,587.87 = 685.02/x
  3. Step 3: Cross multiply
    1,150.50x = 1,587.87 × 685.02
  4. Step 4: Simplify right side
    1,150.50x = 1,087,722.71
  5. Step 5: Solve for x
    x = 1,087,722.71/1,150.50
  6. Step 6: Final answer
    x = 945.43

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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.