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Finding the Fourth Proportional to 1,150.24, 1,587.52 and 684.80

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Solution

The fourth proportional to 1,150.24, 1,587.52 and 684.80 is: 945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.24 : 1,587.52 = 684.80 : x
  2. Step 2: Convert to fraction form
    1,150.24/1,587.52 = 684.80/x
  3. Step 3: Cross multiply
    1,150.24x = 1,587.52 × 684.80
  4. Step 4: Simplify right side
    1,150.24x = 1,087,133.70
  5. Step 5: Solve for x
    x = 1,087,133.70/1,150.24
  6. Step 6: Final answer
    x = 945.14

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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.